Factoring the GCF

Presentation

•

Mathematics

•

8th Grade

•

Medium

•

CCSS

HSA.APR.A.1, 6.NS.B.4, HSA.APR.C.4

Standards-aligned

Rabah Issa

Used 2+ times

FREE Resource

4 Slides • 14 Questions

Intro to Factoring

By Rabah Issa

Finding the GCF

Find the largest number that divides evenly into all of the terms coefficients
If all of the terms share the same variable(s) use those with the smallest exponent

What is the GCF?

1. 16 and 72
2. 4 and 32
3. 5a² and 20a
4. 32xy³ and 64xy²

Multiple Choice

Find the GCF of 64 and 144

Multiple Choice

What is the GCF of 18k and 15k³

3k²

3k³

Multiple Choice

What is the GCF of

$24xy^2,\ 36x^3y^5z,\ and\ 18x^2y^3z^2$

$6xy^2$

$6x^3y^5z^2$

$12xyz$

$12xy^2$

Factoring a polynomial means expressing it as a product of other polynomials.

Find the greatest common factor (GCF).
Divide the polynomial by the GCF. The quotient is the other factor.
Express the polynomial as the product of the quotient and the GCF.

Multiple Choice

Factor:
56a³-8a

8a²(56a³-8a)

8a(7a²-1)

8a(7a³-a)

8a²(35a²-a)

Multiple Choice

Factor:
2n²-8n³

2n²(n-4n²)

2n²(1-4n)

2n³(10-8n²)

3n(1-4n)

Multiple Choice

Factor 4x - 20

4(x -5)

4(x + 5)

4x(1 - 5)

4x(1 + 5)

Multiple Choice

Factor:
p² - 14p

p(1 - 14)

2p(p - 7)

p²(1-14)

p(p - 14)

Multiple Choice

Factor Completely:
2x² - 2x - 6

2(x + 3)(x - 1)

2(x + 2)(x - 3)

2(x² - x - 3)

2(x² - 2x - 6)

Multiple Choice

Factor by GCF:
17xy - x

17(xy - x)

y(17x - x)

x(17y - 1)

not factorable

Multiple Choice

Factor:
2n³+16n+12

2n(n³+24n+6)

2(n³+8n+6)

2n(n³+8n+6)

3(n³+8n+6)

Multiple Choice

3x³+ 9x²- 15x

x(3x² + 9x - 15)

3x(x² + 3x - 5)

3x(x² - 9x + 15)

x(3x² -9x + 15)

Multiple Choice

Factor by using GCF:
10x² + 15x-5

25(10x³+45x-15)

5(2x³ + 3x²-x)

x(10x³+15x-5)

5(2x²+3x-1)

Multiple Choice

Factor by GCF:
6m² + 16m

2(3m² + 8m)

2m(3m + 8)

2m(3m - 8m)

not factorable

Multiple Choice

Factor by using GCF:
8n³ + 2n²

2n²(4n-1)

2n²(4n + 1)

n²(8n+2)

3n(4n+1)

Intro to Factoring

By Rabah Issa

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