#### Study sets matching "algebra polynomials functions"

#### Study sets matching "algebra polynomials functions"

Monomial in Simplified Form has:

Degree of a Polynomial

Dividend

Divisor

No powers of powers... Each base appears exactly once... All fracti…

Highest exponent in the Polynomial

Number inside the division symbol. The divisor goes into it.

Number on left of the division symbol. It goes into the divid…

Monomial in Simplified Form has:

No powers of powers... Each base appears exactly once... All fracti…

Degree of a Polynomial

Highest exponent in the Polynomial

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…

Polynomial

Term (math)

Monomial

Binomial

A mathematical expression that is the sum of a number of terms.

Any coefficient and variable or constant in a mathematical ex…

A mathematical expression consisting of a single term.

A mathematical expression consisting of two terms.

Polynomial

A mathematical expression that is the sum of a number of terms.

Term (math)

Any coefficient and variable or constant in a mathematical ex…

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+…

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+…

Define Coefficient

Define Term

Define Degree of a Term

Define Degree of a Polynomial

the number in a monomial, binomial or trinomial

a single number or a variable, or numbers and variables multi…

the sum of the exponents of the variables in a term.

highest degree of the term(s)

Define Coefficient

the number in a monomial, binomial or trinomial

Define Term

a single number or a variable, or numbers and variables multi…

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+…

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…

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+…

Polynomial

Polynomial function

End behavior

Factor by grouping

A monomial or a sum of monomials, each of which is called a t…

A function. Exponents are all whole numbers and coefficients…

Behavior of graph as x approaches positive infinity or negati…

Factor a polynomial with four terms.

Polynomial

A monomial or a sum of monomials, each of which is called a t…

Polynomial function

A function. Exponents are all whole numbers and coefficients…

a real number, variable, or a product…

a sum of monomials... ex: 7x+4y2-3x2-4y

a sum of monomials with a variable of…

the highest variable exponent

monomial

polynomial

polynomial function

degree

a real number, variable, or a product…

monomial

a sum of monomials... ex: 7x+4y2-3x2-4y

polynomial

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+…

restrictions of polynomials

when rewriting polynomials, put them f…

name of degree 0

name of degree 1

no negative or fraction exponents; variables cannot be in the…

high to low

constant

linear

restrictions of polynomials

no negative or fraction exponents; variables cannot be in the…

when rewriting polynomials, put them f…

high to low

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+…

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+…

Polynomial

Polynomial Function

End Behavior

Factor by Grouping

A monomial or a sum of monomials

A function of the form f(x)... the exponents are all whole nu…

The behavior of the graph of a function as x approaches posit…

To factor a polynomial with four terms by grouping, factor co…

Polynomial

A monomial or a sum of monomials

Polynomial Function

A function of the form f(x)... the exponents are all whole nu…

Coefficient

Degree

Binomial

Trinomial

a number multiplied by a variable

the greatest exponent of its variable

an algebraic expression of the sum or the difference of two t…

an algebraic expression of the sum or the difference of three…

Coefficient

a number multiplied by a variable

Degree

the greatest exponent of its variable

Name Using Degree-0/ Number of Terms

Name Using Degree-1/ Number of Terms

Name Using Degree-2/ Number of Terms

Name Using Degree-3/ Number of Terms

Constant

Linear/ Monomial

Quadratic/ Binomial

Cubic/ Trinomial

Name Using Degree-0/ Number of Terms

Constant

Name Using Degree-1/ Number of Terms

Linear/ Monomial

positive function - even degree

positive function - odd degree

negative function - even degree

negative function - odd degree

end behavior = positive infinity, positive infinity

end behavior = positive infinity, negative infinity

end behavior = negative infinity, negative infinity

negative infinity, positive infinity

positive function - even degree

end behavior = positive infinity, positive infinity

positive function - odd degree

end behavior = positive infinity, negative infinity

zeros of a polynomial function

roots of the equation p(x) = 0

the x-intercepts of p(x)

how can we find the real zeros of p(x)

the values of x for which the function p(x) = 0

the values of x which solve the equation p(x) =0

the values of x for which the graph of p(x) crosses the x-axis

using a calculator - graph the equation and see where the x-i…

zeros of a polynomial function

the values of x for which the function p(x) = 0

roots of the equation p(x) = 0

the values of x which solve the equation p(x) =0

Constant Term

End Behavior

Factored Completely

leading coefficient

The constant term is an expression of equation has a fixed va…

End behavior of a polynomial graph is the behavior of the gra…

A factored polynomial with integer coeffecients is factored c…

The number in front of the variable with the largest exponent

Constant Term

The constant term is an expression of equation has a fixed va…

End Behavior

End behavior of a polynomial graph is the behavior of the gra…

Coefficient

Degree

Binomial

Trinomial

a number multiplied by a variable

the greatest exponent of its variable

an algebraic expression of the sum or the difference of two t…

an algebraic expression of the sum or the difference of three…

Coefficient

a number multiplied by a variable

Degree

the greatest exponent of its variable

2, 6

1

2a

4

**Identify the factors**

GCF, is the highest number that divides exactly into two or m…

GCF, is the highest number that multiplies by two or more num…

If there are no common prime factors, the GCF is 1*(true = 4…

2, 6

**Identify the factors**

1

GCF, is the highest number that divides exactly into two or m…

Monomial

Degree of a Monomial

Polynomial

Constant Polynomial

A number, a variable, or a product of a number and one or mor…

the sum of the exponents of the variables in the monomial

A monomial or a sum or difference of monomials

polynomial with a degree of 0

Monomial

A number, a variable, or a product of a number and one or mor…

Degree of a Monomial

the sum of the exponents of the variables in the monomial

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

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+…

monmials

polynomial

binomial

trinomial

polynomial expression generating using only multiplication... *o…

a polynomial is a sum or the difference of different monomials

sum or difference of 2 terms

sum or difference of 3 terms

monmials

polynomial expression generating using only multiplication... *o…

polynomial

a polynomial is a sum or the difference of different monomials

monomial

polynomial

degree of a monomial

degree of a polynomial

a number or product of numbers and variables with whole numbe…

a monomial or a sum or difference of monomials

the sum of the exponents of the variables

given by the term with the greatest degree

monomial

a number or product of numbers and variables with whole numbe…

polynomial

a monomial or a sum or difference of monomials

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+…

1/2, 5

−5/2, 3, 4

1/2, 1, −1

0, 1, 1

Find the zeros of f(x) = (2x − 1)(x − 5)

Find the zeros of f(x) = (2x + 5)(x² − 7x + 12)

Find the zeros of f(x) = 2x³ − x² − 2x + 1

Find the zeros of f(x) = x³ − 2x² + x

1/2, 5

Find the zeros of f(x) = (2x − 1)(x − 5)

−5/2, 3, 4

Find the zeros of f(x) = (2x + 5)(x² − 7x + 12)

.5, 5

−2.5, 3, 4

0, .5, 1, −1

0, 1

Find the zeros of f(x) = 2x² - 11x + 5

Find the zeros of f(x) = 2x³ - 9x² - 11x + 60

Find the zeros of f(x) = 2x⁴ - x³ - 2x² + x

Find the zeros of f(x) = x³ - 2x² +x

.5, 5

Find the zeros of f(x) = 2x² - 11x + 5

−2.5, 3, 4

Find the zeros of f(x) = 2x³ - 9x² - 11x + 60

term

standard form

coefficient

greatest common factor (GCF)

a single number or variable

a way of writing down very large or very small numbers easily

a numerical or constant quantity placed before and multiplyin…

the greatest factor that divides two numbers

term

a single number or variable

standard form

a way of writing down very large or very small numbers easily

A polynomial function is a function of…

What is synthetic substitution?

Is k(v) = 4 - 3v a polynomial function?

What is a end behavior of a function?

f(x)=ax^h+bx^n-1+cx^n-2+dx+c

a method of evaluating a polynomial that uses fewer steps

yes

End behavior of a function is how the function acts as it app…

A polynomial function is a function of…

f(x)=ax^h+bx^n-1+cx^n-2+dx+c

What is synthetic substitution?

a method of evaluating a polynomial that uses fewer steps

1/2, 5

−5/2, 3, 4

0, 1/2, 1, −1

0, 1 mult. 2

Find the zeros of f(x) = (2x − 1)(x − 5)

Find the zeros of f(x) = (2x + 5)(x^2 − 7x + 12)

Find the zeros of f(x) = x(2x − 1)(x − 1)(x + 1)

Find the zeros of f(x) = x^3 − 2x^2 + x

1/2, 5

Find the zeros of f(x) = (2x − 1)(x − 5)

−5/2, 3, 4

Find the zeros of f(x) = (2x + 5)(x^2 − 7x + 12)

Standard Form

Polynomial

What is a polynomial function?

Degree of a polynomial

When the terms of a polynomial are arranged from the largest…

Expression consisting of

**variables and coefficients**, that i…The sum or difference of one or more monomials (a number, or…

The value of the highest exponent

Standard Form

When the terms of a polynomial are arranged from the largest…

Polynomial

Expression consisting of

**variables and coefficients**, that i…Polynomial Function

Leading Coefficient

Constant Term

Factor by Grouping

A function whose rule is a polynomial.

the coefficient of the first term of a polynomial in standard…

A term in a function or expression that does not contain vari…

A method used to factor some polynomials with pairs of terms…

Polynomial Function

A function whose rule is a polynomial.

Leading Coefficient

the coefficient of the first term of a polynomial in standard…

Algebraic expression

Binomial

Coefficient

Common difference

contains numbers, variables, and operations (no equal sign)

an expression that contains two terms

the "big" number in front of the variable

the constant difference between consecutive terms in a sequence

Algebraic expression

contains numbers, variables, and operations (no equal sign)

Binomial

an expression that contains two terms

Polynomial

Term (math)

Monomial

Binomial

A mathematical expression that is the sum of a number of terms.

Any coefficient and variable or constant in a mathematical ex…

A mathematical expression consisting of a single term.

A mathematical expression consisting of two terms.

Polynomial

A mathematical expression that is the sum of a number of terms.

Term (math)

Any coefficient and variable or constant in a mathematical ex…

Monomial

Degree of monomial

Polynomial

Degree of polynomial

A number, variable, or a product of both

The sum of the exponents of the variables

Sum or difference of monomials

Degree of the term (monomial) with the highest degree

Monomial

A number, variable, or a product of both

Degree of monomial

The sum of the exponents of the variables