Factor Out a Common Factor Polynomials

5ab²c¹¹ + 2bc⁵

• bc⁵(5ab²c⁶ + 2b)

• bc⁵(5abc⁶ + 2)

• b²c⁵(5bc⁶ + 2)

• c4(5a²b²c⁷ + 2bc)

Factor

10x² + 15x-5

• 25(10x³+45x-15)

• 5(2x³ + 3x²-x)

• x(10x³+15x-5)

• 5(2x²+3x-1)

Factor using GCF or monomial factoring:

w³ + 3w

• 3w(1)

• w(w² + 3)

• w³(w + 3)

factor 10x²y – 30xy²

• xy(10 - 30)

• 10xy(x - 3y)

• 10x²y(3y)

• 10xy²(x)

Factor the Greatest Common Factor out of each polynomial!
-18n⁵ + 3n³ - 21n - 9

• 3(- 6n⁵ + n³ - 7n - 3)

• 3n(- 6n⁴ + n² - 7 - 3)

• 6(- n⁵ + n³ - 2n - 3)

• - 3(6n⁵ + n³ + 7n + 3)

Factor the Greatest Common Factor out of each polynomial!
-24x⁶  - 4x⁴ + 12x³ + 8x²

• 4x(-6x⁵ - x³ + 3x + 2)

• 4x²(-6x⁴ - x² + 3x + 2)

• - 4x²(6x⁴ + x² + 3x - 2)

• 4( -6x⁶  - x⁴ + 3x³ + 2x²

Why do we need to find the GCF of polynomials? Choose the BEST option.

• Because Mr. K said so

• To simplify the polynomials as much as possible before working with them

• To get rid of stuff

• Because the GCF makes the problem impossible to solve

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)

• 5x(2x² - 3)

• 5(2x³ - 3x)

• 5x²(10x - 3)

What is the factor of 6x²-24x?

• 6x(x-4)

• 6x(x-24x)

• 6(x²-24x)

• 6x²(1-24x)

Factor using GCF or monomial factoring:

2x + 18

• 2(x + 9)

• 2(x + 8)

• 2(2x + 9)

• cannot be factored