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Study sets matching "polynomials factoring"

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Study sets matching "polynomials factoring"

5 terms
Factoring Polynomials
Difference of 2 squares
Sum of 2 cubes
Difference of 2 cubes
Perfect square trinomial (+)
Difference of 2 squares
Sum of 2 cubes
16 terms
Factoring Polynomials
15x(x³-2x²+3)
2x²(3-10x³+2x²)
(x+3)(x-3)
(x+12)(x-12)
Factor 15x⁴-30x³+45x
Factor 6x²-20x⁵+4x⁴
Factor x²-9
Factor x²-144
15x(x³-2x²+3)
Factor 15x⁴-30x³+45x
2x²(3-10x³+2x²)
Factor 6x²-20x⁵+4x⁴
16 terms
Factoring Polynomials
x^2 - 3x - 18
x^2 + 5x + 6
x^2 -7x + 12
x^2 + 6x -16
(x-6)(x+3)
(x + 2)(x + 3)
(x - 3)(x - 4)
(x + 8)(x - 2)
x^2 - 3x - 18
(x-6)(x+3)
x^2 + 5x + 6
(x + 2)(x + 3)
30 terms
Factoring polynomials
(x+2)(x+4)
(x+3)(x−4
(x+3)(x−5)
(x−2)(x+4)
x²+6x+8
x²−x−12
x²−2x−15
x²+2x−8
(x+2)(x+4)
x²+6x+8
(x+3)(x−4
x²−x−12
15 terms
Factoring Polynomials
Greatest Common Factor (GCF)
Monomial
A polynomial is
Leading term
The greatest common factor (GCF) of two or more integers is t…
A monomial is a product of numbers and powers of variables.
a sum of monomials.
The leading term of a polynomial is the first term when the p…
Greatest Common Factor (GCF)
The greatest common factor (GCF) of two or more integers is t…
Monomial
A monomial is a product of numbers and powers of variables.
16 terms
Factoring Polynomials
x² - 3x - 18
x² + 5x + 6
x² -7x + 12
x² + 6x -16
(x-6)(x+3)
(x + 2)(x + 3)
(x - 3)(x - 4)
(x + 8)(x - 2)
x² - 3x - 18
(x-6)(x+3)
x² + 5x + 6
(x + 2)(x + 3)
16 terms
Factoring Polynomials
x^2 - 3x - 18
x^2 + 5x + 6
x^2 -7x + 12
x^2 + 6x -16
(x-6)(x+3)
(x + 2)(x + 3)
(x - 3)(x - 4)
(x + 8)(x - 2)
x^2 - 3x - 18
(x-6)(x+3)
x^2 + 5x + 6
(x + 2)(x + 3)
11 terms
Factoring Polynomials
binomial
degree of a polynomial
monomial
polynomial
A polynomial of two terms.
The highest degree of any term of the polynomial.
A real number, a variable, or a product of a real number and…
A monomial or the sum or difference of two or more monomials.…
binomial
A polynomial of two terms.
degree of a polynomial
The highest degree of any term of the polynomial.
12 terms
Factoring Polynomials
x^2 - 3x - 18
x^2 + 5x + 6
x^2 -7x + 12
x^2 + 6x -16
(x-6)(x+3)
(x + 2)(x + 3)
(x - 3)(x - 4)
(x + 8)(x - 2)
x^2 - 3x - 18
(x-6)(x+3)
x^2 + 5x + 6
(x + 2)(x + 3)
5 terms
Factoring Polynomials
Difference of squares
Sum of cubes
Difference of cubes
Perfect square trinomial (+)
Difference of squares
Sum of cubes
15 terms
Factoring Polynomials
Greatest Common Factor (GCF)
Monomial
A polynomial is
Leading term
two or more integers is the greatest integer that divides eac…
is a product of numbers and powers of variables.
a sum of monomials.
The ______ of a polynomial is the first term when the polynom…
Greatest Common Factor (GCF)
two or more integers is the greatest integer that divides eac…
Monomial
is a product of numbers and powers of variables.
16 terms
Factoring Polynomials
(5a² + 2)(7a - 1)
(2n² + 5)(5n - 7)
(r + 6)(r - 9)
(x - 9)(x - 4)
Factor Completely
Factor Completely
Factor Completely
Factor Completely
(5a² + 2)(7a - 1)
Factor Completely
(2n² + 5)(5n - 7)
Factor Completely
42 terms
Factoring Polynomials
(x-6)(x+3)
(x + 2)(x + 3)
(x - 3)(x - 4)
(x + 8)(x - 2)
x^2 - 3x - 18
x^2 + 5x + 6
x^2 -7x + 12
x^2 + 6x -16
(x-6)(x+3)
x^2 - 3x - 18
(x + 2)(x + 3)
x^2 + 5x + 6
12 terms
Factoring Polynomials Vocabulary
Greatest Common Factor (GCF)
Monomial
A polynomial is
Leading term
the greatest integer that divides each with no remainder.
product of numbers and powers of variables.
a sum of monomials.
The first term when the polynomial is in standard form.
Greatest Common Factor (GCF)
the greatest integer that divides each with no remainder.
Monomial
product of numbers and powers of variables.
40 terms
Polynomials and Factoring
(4x+3)+(6x-5)
(3x²+5x-2)-(6x²-4x+3)
(7x²-4x+3)+(-4x²-11x+2)
(-7x+6)-(8x-4)
10x - 2
-3x²+9x-5
3x²-15x+5
-15x+10
(4x+3)+(6x-5)
10x - 2
(3x²+5x-2)-(6x²-4x+3)
-3x²+9x-5
8 terms
Factoring Polynomials
Factor 15x⁴-30x³+45x
Factor 6x²-20x⁵+4x⁴
Factor x²-9
Factor x²+2x-63
15x(x³-2x²+3)
2x²(3-10x³+2x²)
(x+3)(x-3)
(x+9)(x-7)
Factor 15x⁴-30x³+45x
15x(x³-2x²+3)
Factor 6x²-20x⁵+4x⁴
2x²(3-10x³+2x²)
16 terms
Factoring Polynomials
15x(x³-2x²+3)
2x²(3-10x³+2x²)
(x+3)(x-3)
(x+12)(x-12)
Factor 15x⁴-30x³+45x
Factor 6x²-20x⁵+4x⁴
Factor x²-9
Factor x²-144
15x(x³-2x²+3)
Factor 15x⁴-30x³+45x
2x²(3-10x³+2x²)
Factor 6x²-20x⁵+4x⁴
30 terms
Factoring polynomials
(x+2)(x+4)
(x+3)(x−4)
(x+3)(x−5)
(x−2)(x+4)
x²+6x+8
x²−x−12
x²−2x−15
x²+2x−8
(x+2)(x+4)
x²+6x+8
(x+3)(x−4)
x²−x−12
24 terms
Factoring polynomials
(x+2)(x+4)
(x+3)(x−4)
(x+3)(x−5)
(x−2)(x+4)
x²+6x+8
x²−x−12
x²−2x−15
x²+2x−8
(x+2)(x+4)
x²+6x+8
(x+3)(x−4)
x²−x−12
19 terms
Factoring Polynomials
(x-6)(x+3)
(x + 2)(x + 3)
(x - 3)(x - 4)
(x + 8)(x - 2)
x^2 - 3x - 18
x^2 + 5x + 6
x^2 -7x + 12
x^2 + 6x -16
(x-6)(x+3)
x^2 - 3x - 18
(x + 2)(x + 3)
x^2 + 5x + 6
30 terms
Factoring polynomials
(x+2)(x+4)
(x+3)(x−4
(x+3)(x−5)
(x−2)(x+4)
x²+6x+8
x²−x−12
x²−2x−15
x²+2x−8
(x+2)(x+4)
x²+6x+8
(x+3)(x−4
x²−x−12
15 terms
Factoring Polynomials
x² - 3x - 18
x² -7x + 12
x² + 6x -16
x² + 9x + 20
(x-6)(x+3)
(x - 3)(x - 4)
(x + 8)(x - 2)
(x +5)(x+ 4)
x² - 3x - 18
(x-6)(x+3)
x² -7x + 12
(x - 3)(x - 4)
16 terms
Factoring Polynomials
x^2 - 3x - 18
x^2 + 5x + 6
x^2 -7x + 12
x^2 + 6x -16
(x-6)(x+3)
(x + 2)(x + 3)
(x - 3)(x - 4)
(x + 8)(x - 2)
x^2 - 3x - 18
(x-6)(x+3)
x^2 + 5x + 6
(x + 2)(x + 3)
12 terms
Factoring Polynomials
x^2 - 3x - 18
x^2 + 5x + 6
x^2 -7x + 12
x^2 + 6x -16
(x-6)(x+3)
(x + 2)(x + 3)
(x - 3)(x - 4)
(x + 8)(x - 2)
x^2 - 3x - 18
(x-6)(x+3)
x^2 + 5x + 6
(x + 2)(x + 3)
42 terms
Factoring Polynomials
(x-6)(x+3)
(x + 2)(x + 3)
(x - 3)(x - 4)
(x + 8)(x - 2)
x^2 - 3x - 18
x^2 + 5x + 6
x^2 -7x + 12
x^2 + 6x -16
(x-6)(x+3)
x^2 - 3x - 18
(x + 2)(x + 3)
x^2 + 5x + 6
16 terms
Factoring Polynomials
x² - 3x - 18
x² + 5x + 6
x² -7x + 12
x² + 6x -16
(x-6)(x+3)
(x + 2)(x + 3)
(x - 3)(x - 4)
(x + 8)(x - 2)
x² - 3x - 18
(x-6)(x+3)
x² + 5x + 6
(x + 2)(x + 3)
16 terms
Factoring Polynomials
x^2 - 3x - 18
x^2 + 5x + 6
x^2 -7x + 12
x^2 + 6x -16
(x-6)(x+3)
(x + 2)(x + 3)
(x - 3)(x - 4)
(x + 8)(x - 2)
x^2 - 3x - 18
(x-6)(x+3)
x^2 + 5x + 6
(x + 2)(x + 3)
18 terms
Factoring polynomials
(x+2)(x+4)
(x+3)(x−4)
(x+3)(x−5)
(x−2)(x+4)
x²+6x+8
x²−x−12
x²−2x−15
x²+2x−8
(x+2)(x+4)
x²+6x+8
(x+3)(x−4)
x²−x−12
34 terms
Factoring Polynomials
(x - 6)(x + 3)
(x + 2)(x + 3)
(x - 3)(x - 4)
(x + 8)(x - 2)
x² − 3x − 18
x² + 5x + 6
x² - 7x + 12
x² + 6x - 16
(x - 6)(x + 3)
x² − 3x − 18
(x + 2)(x + 3)
x² + 5x + 6
42 terms
Factoring Polynomials
(x-6)(x+3)
(x + 2)(x + 3)
(x - 3)(x - 4)
(x + 8)(x - 2)
x^2 - 3x - 18
x^2 + 5x + 6
x^2 -7x + 12
x^2 + 6x -16
(x-6)(x+3)
x^2 - 3x - 18
(x + 2)(x + 3)
x^2 + 5x + 6
13 terms
Factoring Polynomials
Binomial
Degree of a monomial
Degree of a polynomial
Monomial
A polynomial with two terms
The sum of the exponents of the variables in the monomial
The greatest degree among its monomial terms
A number, a variable, or a product of a number and one or mor…
Binomial
A polynomial with two terms
Degree of a monomial
The sum of the exponents of the variables in the monomial
42 terms
Factoring Polynomials
(x - 6)(x + 3)
(x + 2)(x + 3)
(x - 3)(x - 4)
(x + 8)(x - 2)
x² - 3x - 18
x² + 5x + 6
x² -7x + 12
x² + 6x -16
(x - 6)(x + 3)
x² - 3x - 18
(x + 2)(x + 3)
x² + 5x + 6
5 terms
Factoring Polynomials
f(x)=(x-3)²(x+2)³(x-5)
f(x) = (x-3)⁴(x+2)²(x-5)³
f(x) = (x-3)⁴(x-2)³(x+5)
f(x)=x⁴-13x²+36
polynomial with zeros 3 (multiplicity 2), -2 (multiplicity 3)…
polynomial with zeros 3 (multiplicity 4), -2 (multiplicity 2)…
polynomial with zeros 3 (multiplicity 4), 2 (multiplicity 3),…
polynomial with zeros 2 (multiplicity 1), -2 (multiplicity 1)…
f(x)=(x-3)²(x+2)³(x-5)
polynomial with zeros 3 (multiplicity 2), -2 (multiplicity 3)…
f(x) = (x-3)⁴(x+2)²(x-5)³
polynomial with zeros 3 (multiplicity 4), -2 (multiplicity 2)…
9 terms
Factoring Polynomials
Greatest Common Factor
Prime Factorization
Factor Tree
Factoring by Grouping
The greatest factor that two or more numbers have in common w…
Breaking down a number until all factors are prime.
A method of prime factorization to get a number's factors pri…
Grouping is used with polynomials with four or more terms by…
Greatest Common Factor
The greatest factor that two or more numbers have in common w…
Prime Factorization
Breaking down a number until all factors are prime.
16 terms
Factoring Polynomials
15x(x³-2x²+3)
2x²(3-10x³+2x²)
(x+3)(x-3)
(x+12)(x-12)
Factor 15x⁴-30x³+45x
Factor 6x²-20x⁵+4x⁴
Factor x²-9
Factor x²-144
15x(x³-2x²+3)
Factor 15x⁴-30x³+45x
2x²(3-10x³+2x²)
Factor 6x²-20x⁵+4x⁴
12 terms
Factoring Polynomials
n^2+8n+7
n^2-10n+9
n^2-13n+40
n^2 -6n+8
(n+7)(n+1)
(n-1)(n-9)
(n-5)(n-8)
(n-4)(n-2)
n^2+8n+7
(n+7)(n+1)
n^2-10n+9
(n-1)(n-9)
16 terms
Factoring Polynomials
x - 3x - 18
x^2 + 5x + 6
x^2 -7x + 12
x^2 + 6x -16
(x-6)(x+3)
(x + 2)(x + 3)
(x - 3)(x - 4)
(x + 8)(x - 2)
x - 3x - 18
(x-6)(x+3)
x^2 + 5x + 6
(x + 2)(x + 3)
40 terms
Polynomials and Factoring
(4x+3)+(6x-5)
(3x²+5x-2)-(6x²-4x+3)
(7x²-4x+3)+(-4x²-11x+2)
(-7x+6)-(8x-4)
10x - 2
-3x²+9x-5
3x²-15x+5
-15x+10
(4x+3)+(6x-5)
10x - 2
(3x²+5x-2)-(6x²-4x+3)
-3x²+9x-5
9 terms
Polynomials and Factoring
Binomial
Degree of a monomial
Degree of a polynomial
Factor by grouping
Polynomial with 2 terms
Sum of the exponents of its variables.
The same as the degree of the monomial with the greatest expo…
to take a polynomial and factor it into the product of two bi…
Binomial
Polynomial with 2 terms
Degree of a monomial
Sum of the exponents of its variables.
Operations with Polynomials & Factoring
Polynomial
Binomial
Trinomial
Degree of a Monomial
A monomial or sum of monomials
The sum of two monomials
The sum of three monomials
The sum of the exponents of the variables.
Polynomial
A monomial or sum of monomials
Binomial
The sum of two monomials
10 terms
Chapter 8 Polynomials and Factoring
binomial
degree of a monomial
degree of a polynomial
difference of two squares
a polynomial consisting of two terms or monomials.
is the sum of exponents of its variables.
is the same as the degree of the monomial with the greatest d…
The difference pf two perfect square monomials.
binomial
a polynomial consisting of two terms or monomials.
degree of a monomial
is the sum of exponents of its variables.
10 terms
Factoring Polynomials
Long Division :ƒ(x)=(3x²+30x)÷(x+10)
Long Division: ƒ(x)=(12x³−11x²+9x+18)÷…
Synthetic Division: ƒ(x)=(2x³+7x²−6x−8…
Synthetic Division: ƒ(x)=(3x³−5x²+4x+2…
Answer:3x
Answer:3x²−5x+6
Answer:2x²−2
Answer:3x²−6x+6
Long Division :ƒ(x)=(3x²+30x)÷(x+10)
Answer:3x
Long Division: ƒ(x)=(12x³−11x²+9x+18)÷…
Answer:3x²−5x+6
10 terms
Factoring Polynomials
X^2+4x-32
12x^2+5x-2
3x^2-3x-90
-2x^3-6x^3+56x
(x-4)(x+8)
(3x+2)(4x-1)
3(x+5)(x-6)
-2x(x-4)(x+7)
X^2+4x-32
(x-4)(x+8)
12x^2+5x-2
(3x+2)(4x-1)
8 terms
Factoring Polynomials
a^3 - b^3
a^3 + b^3
a^2 - b^2
a^2 + b^2
( a + b ) ( a^2 + ab + b^2 )
( a + b ) ( a^2 - ab + b^2 )
( a + b ) ( a - b )
prime
a^3 - b^3
( a + b ) ( a^2 + ab + b^2 )
a^3 + b^3
( a + b ) ( a^2 - ab + b^2 )
8 terms
Factoring Polynomials
ax ± ay
a² + 2ab + b²
a² - 2ab + b²
a² - b²
a (x ± y)
(a+b)²
(a-b)²
(a+b) (a-b)
ax ± ay
a (x ± y)
a² + 2ab + b²
(a+b)²
Factoring Polynomials
GCF
Difference of squares, sum/difference…
Perfect square trinomial, diamond in t…
Factoring by grouping
What is the first step when factoring a polynomial?
What strategies can you use, after finding the GCF, to factor…
What strategies can you use, after finding the GCF, to factor…
What strategy can you use, after finding the GCF, to factor a…
GCF
What is the first step when factoring a polynomial?
Difference of squares, sum/difference…
What strategies can you use, after finding the GCF, to factor…
9 terms
Factoring Polynomials
x^2+y^2
x^2-y^2
x^3+y^3
x^3-y^3
sum of squares... unfactorable
difference of squares... (x+y)(x-y)
sum of cubes... (x+y)(x^2-xy+y^2)
difference of cubes... (x-y)(x^2+xy+y^2)
x^2+y^2
sum of squares... unfactorable
x^2-y^2
difference of squares... (x+y)(x-y)
30 terms
Factor Polynomials
(x + 3)(x + 2)
(x - 5)(x + 5)
(x + 9)(x - 5)
(x + 3)(x + 8)
x² + 5x + 6
x² - 25
x² + 4x - 45
x² + 11x + 24
(x + 3)(x + 2)
x² + 5x + 6
(x - 5)(x + 5)
x² - 25
42 terms
Factoring Polynomials
(x-6)(x+3)
(x + 2)(x + 3)
(x - 3)(x - 4)
(x + 8)(x - 2)
x^2 - 3x - 18
x^2 + 5x + 6
x^2 -7x + 12
x^2 + 6x -16
(x-6)(x+3)
x^2 - 3x - 18
(x + 2)(x + 3)
x^2 + 5x + 6
11 terms
Factoring Polynomials
GCF
Grouping (4 or more terms)
Difference of Squares
Sum of cubes
Ex: 4m + 8x = 4(m+2x)
take like terms from each term and group like terms after gro…
A^ - b^ = (a+b) (a-b)
A^^ + B^^ = (a+b) (a^ -ab+b^)
GCF
Ex: 4m + 8x = 4(m+2x)
Grouping (4 or more terms)
take like terms from each term and group like terms after gro…
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