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Study sets matching "algebra chapter 5 math polynomials"

10 terms
Algebra Chapter 5 - Polynomials and Polynomial Functions
Polynomial/Polynomial Function
Synthetic Substitution
End Behavior
Factor Completely
A polynomial is a monomial or a sum of monomials. A polynomia…
Another way to evaluate a polynomial function is to use synth…
The end behavior of a function's graph os the behavior of the…
A factorable polynomial with integer coefficients is factored…
Polynomial/Polynomial Function
A polynomial is a monomial or a sum of monomials. A polynomia…
Synthetic Substitution
Another way to evaluate a polynomial function is to use synth…
8 terms
Math-Chapter#5: Polynomials
(A + B)²
(A - B)²
(A + B)(A - B)
(A + B)³
= A² + 2AB + B²
= A² -2AB + B²
= A² - B²
= A³ + 3A²B + 3AB² + B³
(A + B)²
= A² + 2AB + B²
(A - B)²
= A² -2AB + B²
20 terms
Algebra 2 Pearson - Chapter 5 Vocabulary Polynomials
monomial
binomial
trinomial
polynomial
Any numeral, variable, or a product of a numeral and one or m…
A polynomial with two terms.
A polynomial with three terms.
A monomial or sum of terms that are monomials.
monomial
Any numeral, variable, or a product of a numeral and one or m…
binomial
A polynomial with two terms.
16 terms
Math Chapter 5: Polynomials
monomial
binomial
trinomial
polynomial
1 term
2 terms
3 terms
an algebraic expression made up of terms connected by the ope…
monomial
1 term
binomial
2 terms
30 terms
Algebra 2 Chapter 5: Roots of Polynomials
x^2 + 1 = 0
i
i^0
i^1
No real solutions
√-1
1
i
x^2 + 1 = 0
No real solutions
i
√-1
14 terms
Algebra 2 Homors Chapter 5 Polynomials
Degree of a Polynomial
Depressed Polynomial
End Behavior
Extrema
The highest degree in a polynomials
The result of dividing polynomials
What direction the graph is going
A maximum or minimum
Degree of a Polynomial
The highest degree in a polynomials
Depressed Polynomial
The result of dividing polynomials
11 terms
Math - Chapter 5 - Algebra
algebraic expression
Equality Properties
numerical expression
solve
an expression that contains at least one variable
applying the same operation to both sides of an equation form…
an expression that contains only numbers and symbols
to work out a solution
algebraic expression
an expression that contains at least one variable
Equality Properties
applying the same operation to both sides of an equation form…
27 terms
Chapter 5 Polynomials and Polynomial Functions
monomial
degree of a monomial
polynomial
degree of a polynomial
Is a real number, a variable, or a product of a real number a…
The degree of a monomial in one variable is the exponent of t…
a monomial or a sum of monomials
The degree of a polynomial in one variable is the greatest de…
monomial
Is a real number, a variable, or a product of a real number a…
degree of a monomial
The degree of a monomial in one variable is the exponent of t…
25 terms
Algebra 2 Chapter 5- Polynomial Functions
monomial
binomial
trinomial
polynomial
a real number, variable or product of a real number and one o…
two monomials connected with addition or subtraction... ex. 3x²+…
three monomials connected with addition or subtraction... ex. x⁴…
a monomial or a sum of monomials
monomial
a real number, variable or product of a real number and one o…
binomial
two monomials connected with addition or subtraction... ex. 3x²+…
21 terms
Honors Algebra 2: Chapter 5 Polynomials and Polynomial Functions
Monomial
Degree of a Monomial
Degree of a Polynomial
Standard Form of a Polynomial Function
a real number, a variable, or a product of real numbers and v…
the exponent of a variable
the greatest degree among its monomial terms
terms are listed in descending order of degree, and like term…
Monomial
a real number, a variable, or a product of real numbers and v…
Degree of a Monomial
the exponent of a variable
25 terms
Chapter 5 Polynomials and Polynomial Functions
monomial
degree of a monomial
polynomial
polynomial function
Is a real number, a variable, or a product of a real number a…
The degree of a monomial in one variable is the exponent of t…
a monomial or a sum of monomials
...
monomial
Is a real number, a variable, or a product of a real number a…
degree of a monomial
The degree of a monomial in one variable is the exponent of t…
24 terms
Math chapter 5:Algebra
Varible
Algebraic expression
Coefficient
Define a variable
A symbol that represents an unknown quantity
An expression that contains variables,numbers,and at least on…
The numerical factor of a multiplication expression that cont…
When you choose a variable to represent an unknown quantity
Varible
A symbol that represents an unknown quantity
Algebraic expression
An expression that contains variables,numbers,and at least on…
10 terms
ALGEBRA: CHAPTER 8 - POLYNOMIALS AND FACTORING
Monomial
degree of a monomial
Polynomial
Standard form of a polynomial
A real number, a variable, or a product of a real number and…
The sum of the exponents of the variables of a monomial.
A monomial or the sum or difference of two or more monomials.…
The form of a polynomial that places the terms in descending…
Monomial
A real number, a variable, or a product of a real number and…
degree of a monomial
The sum of the exponents of the variables of a monomial.
6 terms
Algebra 1 Ch 5: Polynomials and polynomial functions
polynomial
degree
like terms
GCF
one or more terms
______ of a monomial --> If a ≠ 0, the degree of axn is n. Th…
Terms that have the same variables AND the same... exponents.
greatest common factor
polynomial
one or more terms
degree
______ of a monomial --> If a ≠ 0, the degree of axn is n. Th…
7 terms
Chapter 5 Math Algebraic Reasoning
Order of Operations
Variable
Evaluate
Expression
1st - (Parenthesis) ... 2nd - Multiply & Divide ... 3rd - Add & Sub…
Unknown, represented by a number
Solve
a number or group of numbers with operation symbols
Order of Operations
1st - (Parenthesis) ... 2nd - Multiply & Divide ... 3rd - Add & Sub…
Variable
Unknown, represented by a number
13 terms
Chapter 5 Math Algebra
Point slope form
Converse
Parallel Lines
Perpendicular
The point slope form of the equation of the non vertical line…
The converse of a conditional statement interchanges the hypo…
If two non vertical lines in the same plane have the same slo…
Two lines in the same plane are perpendicular if they interse…
Point slope form
The point slope form of the equation of the non vertical line…
Converse
The converse of a conditional statement interchanges the hypo…
38 terms
Keller: Algebra 2:: Chapter 5, Polynomials, Section 1 Study Guide
Define monomial
What is an example of a monomial?
What is the degree of a monomial? (in…
What is a polynomial?
a real number, variable, or product of a real number and one…
y = 16
the exponent of the variable
a monomial or sum of monomials
Define monomial
a real number, variable, or product of a real number and one…
What is an example of a monomial?
y = 16
23 terms
Chapter 5: Polynomials and Polynomial Functions
Binomial Theorem
degree of a monomial
degree of a polynomial
end behavior
For every positive integer
...
...
...
Binomial Theorem
For every positive integer
degree of a monomial
...
11 terms
Math - Chapter 5 - Algebra
algebraic expression
Equality Properties
numerical expression
solve
an expression that contains at least one variable
applying the same operation to both sides of an equation form…
an expression that contains only numbers and symbols
to work out a solution
algebraic expression
an expression that contains at least one variable
Equality Properties
applying the same operation to both sides of an equation form…
9 terms
Grade 9 Math (Math Links) Chapter 5 Introduction to Polynomials
Algebra
Term
Polynomial
Monomial
a branch of mathematics that uses symbols to represent unknow…
an expression formed from the product of numbers and or varia…
an algebraic expression made up of terms connected by the ope…
an algebraic expression with ONE term. 6y
Algebra
a branch of mathematics that uses symbols to represent unknow…
Term
an expression formed from the product of numbers and or varia…
28 terms
Chapter 5: Polynomials & Polynomial Functions
Constant
Linear
Quadratic
Cubic
degree of 0
degree of 1
degree of 2
degree of 3
Constant
degree of 0
Linear
degree of 1
18 terms
Algebra Chapter 12 - Polynomials and Quadratics
polynomial
term
coefficient
monomial
the sum of powers in one or more variables multiplied by coef…
Within a polynomial, each product
the number being multiplied by a power
Polynomials with only one term
polynomial
the sum of powers in one or more variables multiplied by coef…
term
Within a polynomial, each product
Chapter 5: Exponents and Polynomials
Positive Integral Exponents
Negative Integral Exponents
Zero Exponent
Product Rule of Exponents
If x is a nonzero real number, and n is a positive integer, t…
If x is a nonzero real number, and n is a negative integer, t…
If a is any nonzero real number, then a⁰=1
If m and n are integers, and a=0, then aᵐ × aⁿ = aᵐ⁺ⁿ
Positive Integral Exponents
If x is a nonzero real number, and n is a positive integer, t…
Negative Integral Exponents
If x is a nonzero real number, and n is a negative integer, t…
19 terms
Math Unit Test: Polynomials and Algebra
Variable
Algebraic expression
Algebra tiles
Power
A quantity whose value can change, usually represented by a l…
A mathematical phrase made up of numbers and variables, conne…
We can use different tiles to respire sent expressions, shade…
A product of identical factors and consists of two parts, the…
Variable
A quantity whose value can change, usually represented by a l…
Algebraic expression
A mathematical phrase made up of numbers and variables, conne…
48 terms
Chapter 5 Polynomials
Products of Exponents... Product of Powers
Products of Exponents... Power of a Power
Products of Exponents... Power of a Product
Products of Exponents... Negative Exponent
a ⁿ ₀ aⁿ = a ⁿ⁺ⁿ
(a ⁿ )ⁿ = a ⁿⁿ
(ab) ⁿ = a ⁿb ⁿ
a⁻ⁿ = 1/aⁿ , a ≠ 0
Products of Exponents... Product of Powers
a ⁿ ₀ aⁿ = a ⁿ⁺ⁿ
Products of Exponents... Power of a Power
(a ⁿ )ⁿ = a ⁿⁿ
18 terms
chapter 5 polynomials
monomial
degree of a monomial
polynomial
degree of a polynomial
A polynomial with one term
The exponent of the variable (3x^2 -> degree = 2)
A monomial or sum of monomials
The highest exponent of a variable in the polynomial
monomial
A polynomial with one term
degree of a monomial
The exponent of the variable (3x^2 -> degree = 2)
15 terms
Chapter 5 - Polynomials
monomial
binomial
trinomial
quadratic
a polynomial with one term
a polynomial with two terms
a polynomial with three terms
a polynomial of degree 2
monomial
a polynomial with one term
binomial
a polynomial with two terms
27 terms
Chapter 5 Polynomials
Monomial
Binomial
Trinomial
Polynomial
1 Term
2 Terms
3 Terms
4 Terms
Monomial
1 Term
Binomial
2 Terms
14 terms
Algebra Chapter 7: Polynomials
Monomial
Constant
Coefficient
Polynomial
A numeral, a variable, or the product of a numeral and one or…
A monomial that contains no variables
The numerical factor of a monomial
A monomial or the sum of monomials
Monomial
A numeral, a variable, or the product of a numeral and one or…
Constant
A monomial that contains no variables
10 terms
Vocabulary for Polynomials, Chapter 5
End behavior
Local Maximum
Local Minimum
Zeros
Describes the direction of the y-values as x goes to positive…
A peak in the y-values of the graph of the function, but not…
A low in the y-values of the graph of the function, but not t…
Where the graph of the function touches or crosses the y-axis.
End behavior
Describes the direction of the y-values as x goes to positive…
Local Maximum
A peak in the y-values of the graph of the function, but not…
25 terms
SREB Vocab. - Chapter 5 (Polynomials and Polynomial Functions)
polynomial
factoring
conjugates
SOPPS
a finite sum of terms in which all variables are raised to wh…
writing a polynomial as a product
(a - b) and (a + b)... only the second sign is opposite
acronym for factoring sum/diff of cubes... *S*quare... *O*pposite *…
polynomial
a finite sum of terms in which all variables are raised to wh…
factoring
writing a polynomial as a product
13 terms
Chapter 5 Polynomials
polynomial
polynomial function
synthetic substitution
end behavior
a monomial or a sum of monomials
a function of the form... the exponents are all whole numbers…
a method used to evaluate a polynomial function
the behavior of the graph of a function as x approaches posit…
polynomial
a monomial or a sum of monomials
polynomial function
a function of the form... the exponents are all whole numbers…
22 terms
Honors Algebra 2 Unit 5 - Polynomials and Polynomial Factoring
Scientific Notation
Polynomial
Polynomial Function
End Behavior
A number in the form c x 10^n, where c is between 1 and 10, a…
A monomial or sum of monomials.
The behavior of the graph as x approaches positive infinity o…
Scientific Notation
A number in the form c x 10^n, where c is between 1 and 10, a…
Polynomial
A monomial or sum of monomials.
21 terms
Algebra 2: Chapter 5
Binomial
Coefficient
complex conjugates
complex numbers
A polynomial equation with 2 terms
A number multiplied by a variable in an algebraic expression.
Opposites of your complex number Ex: (a+bi) and (a-bi)
They are often represented as A + Bi.
Binomial
A polynomial equation with 2 terms
Coefficient
A number multiplied by a variable in an algebraic expression.
17 terms
vocab chapter 5 polynomials
degree
descending
ascending
polynomial
highest "power" of a variable
decreasing from large-small
increasing from small-large
an expression using only +, -, * of or by the variable
degree
highest "power" of a variable
descending
decreasing from large-small
15 terms
Chapter 5 - Polynomials
Rule - Zero Exponent
Example of Zero Exponent
Rule - Negative Exponent
Example of Negative Exponent
If x=/0, then x^0=1
47^0=1
If x=/0, then x^-n = 1/x^n
7^-2 = 1/7^2 = 1/49
Rule - Zero Exponent
If x=/0, then x^0=1
Example of Zero Exponent
47^0=1
10 terms
Chapter 5 Vocabulary (Polynomials and Polynomial Functions)
end behavior
monomial
multiplicity
Pascal's Triangle
describes the directions of the graph as you move to the left…
either a real number, a variable, or the product of real numb…
the number of times the related linear factor is repeated in…
a triangular array of numbers in which the first and last num…
end behavior
describes the directions of the graph as you move to the left…
monomial
either a real number, a variable, or the product of real numb…
19 terms
Chapter 5- Polynomials Quest
What is the product of a power?
What is the power of a power?
What is the power of a product?
What is scientific notation?
a^m*a^n=a^m+n
(a^m)^n=a^mn
(ab)^m=a^m*b^m
ax10^h
What is the product of a power?
a^m*a^n=a^m+n
What is the power of a power?
(a^m)^n=a^mn
11 terms
Chapter 9 Algebra - Polynomials and Factoring
Monomial
degree
polynomial
Standard form of a polynomial
expression that is a number, a variable or a product of a num…
exponent
any monomial or the sum/difference of two or more monomials
written from greatest to least degree
Monomial
expression that is a number, a variable or a product of a num…
degree
exponent
24 terms
MAPL 098 Chapter #5/Algebra 2 Unit 5 Vocabulary Exponents, Polynomials, and Polynomial Functions
The Product Rule
Zero Exponent
The Quotient Rule
Negative Exponents
When multiplying with like bases, the exponents are added tog…
Anything with a zero exponent equals 1.
When dividing with like bases, the exponents are subtracted.
If a variable has a negative exponent, it is moved to the oth…
The Product Rule
When multiplying with like bases, the exponents are added tog…
Zero Exponent
Anything with a zero exponent equals 1.
11 terms
Chapter 5 Math Review: Algebra 1
In 5.1: what does B and M equal
Parallel Line:... what equation:
how to find the slope with two points
perpendicular lines... PROVE
B= starting point... M= rate of change
same slope... y=mx+b
y2-y1... x2-x1
their slopes are negative reciprocals of each others ... WRITE A…
In 5.1: what does B and M equal
B= starting point... M= rate of change
Parallel Line:... what equation:
same slope... y=mx+b
60 terms
Alg. II: Chapter 5 (Polynomials)
when multiplying two numbers with expo…
when a number with an exponent has an…
when two variables are being multiplie…
when the same variable with different…
multiply numbers and add exponents... x^m+n
multiply exponents... x^mn
multiply the variables by the exponent... x^m y^m
subtract the exponents... x^m-n
when multiplying two numbers with expo…
multiply numbers and add exponents... x^m+n
when a number with an exponent has an…
multiply exponents... x^mn
13 terms
Chapter 5 math terms Algebra 1
Rate of change
Slope
Direct variation
Parent function
Change of the depentant variable... ____________________________…
Vertical change Rise... ____________________ = _____... Horizontal…
Described by any equation in the form Y=KX
The simplest function from the basic set of functions. Y=X or…
Rate of change
Change of the depentant variable... ____________________________…
Slope
Vertical change Rise... ____________________ = _____... Horizontal…
10 terms
Algebra 1 - Chapter 8 - Polynomials and Factoring
binomial
degree of a monomial
degree of a polynomial
difference of two squares
a polynomial of two terms
is the sum of the exponents of its variables
is the highest degree of any term in the polynomial
an expression of the form a^2 - b^2. It can be factored as (a…
binomial
a polynomial of two terms
degree of a monomial
is the sum of the exponents of its variables
22 terms
Algebra 2, Chapter 5
degree of a monomial
end behavior
monomial
multiplicity
the sum of the exponents of all variables in the one term
the directions of the graph to the far left or far right
a number, a variable, or a product of a number and one or mor…
the number of times that a variable's associated factor appea…
degree of a monomial
the sum of the exponents of all variables in the one term
end behavior
the directions of the graph to the far left or far right
13 terms
chapter 5 Polynomials and monomials
polynomial
monomials
1 term
2 terms
A sum and or difference of one or more monomial.
a term made of the product of one or more contants and/or var…
monomial ex: 3x
binomial ex: 5x(2)=7
polynomial
A sum and or difference of one or more monomial.
monomials
a term made of the product of one or more contants and/or var…
11 terms
Algebra II Unit 5- Polynomials
Remainder Theorem
Factor Theorem
Multiple Zero
Multiplicity
A remainder of 0 tells us that the DIVISOR is a factor of the…
Factors, roots, zeros, x-intercepts, & solutions are all inte…
Solution that counts as more than one zero
The number of times a MULTIPLE ZERO counts
Remainder Theorem
A remainder of 0 tells us that the DIVISOR is a factor of the…
Factor Theorem
Factors, roots, zeros, x-intercepts, & solutions are all inte…
9 terms
5 Algebraic Expressions vocabulary Math chapter 5
numerical expressions
algebraic expressions
order of operations
variable
These are combinations of numbers and operations
These are combinations of numbers, variables, and operations
This tells you which operation to perform first
A symbol, usually a letter, used to represent a number
numerical expressions
These are combinations of numbers and operations
algebraic expressions
These are combinations of numbers, variables, and operations
11 terms
Chapter 5 Algebra (Glencoe)
inequality
set-builder notation
compound inequality
intersection
An open sentence that contains the symbol <, ≤, >, ≥.
A concise way of writing a solution set. For example, {t |t <…
A ______________ containing 'and' is true if both of the ineq…
The graph of a compound inequality containing 'and' is the __…
inequality
An open sentence that contains the symbol <, ≤, >, ≥.
set-builder notation
A concise way of writing a solution set. For example, {t |t <…
80 terms
Financial Algebra Chapter 5
5-1... Sales Tax
5-1... Domain
5-1... Piecewise Function
5-1... Split Function
tax paid when buying a used car
set of values that can be put into a function
gives set of rules for each domain of the function
piecewise function... - a function that gives a set of rules for…
5-1... Sales Tax
tax paid when buying a used car
5-1... Domain
set of values that can be put into a function
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