Factoring All Polynomials

What is the first step when factoring polynomials?

• Find the GCF

• List all the terms

• Make a triangle

• Write the answer

Factor:
x² - 49

• (x + 7)(x - 7)

• (x + 7)²

• (x - 7)²

• (x+7)(x-1)

Factor Completely

5x²-28x+32

• (3x-10)(x+6)

• (x-8)(5x-4)

• (5x-8)(x-4)

• (5x-8)(x+7)

Factor
3v² - 4v - 7

• (3v-7)(v+1)

• 3(v-7)(v-1)

• (3v+1)(v-9)

• (3v+1)(v-10)

Match each polynomial to its factored form.

• (x + 8)(x + 2)

• (8x - 1)(8x + 1)

• (x - 3)(3x + 5)

Match each polynomial to its factored form:

• (x+4)(x-1)

• (x-4)(x-1)

• (x+4)(x+1)

• (x-4)(x+1)

Identify which polynomial is a sum of cubes and difference of cubes.

a

b

Difference of Cubes

Sum of Cubes