Factoring Out Polynomials

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group

Factor completely:
3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

Factor this difference of cubes:
x³ - 343

• (x + 7) (x² - 7x + 49)

• (x² + 1) (x - 343)

• (x - 7) (x² + 7x + 49)

• (x² - 343) (x + 1)

Factor by grouping:
x³+7x²-2x-14

• (x²-2)(x-7)

• (x²+2)(x-7)

• (x²+2)(x+7)

• (x²-2)(x+7)

Whenever you are factoring

ANY polynomial,

what do you ALWAYS do first?

• Look for a GCF and take it out

• Use XBox Method

• Use Factor By Grouping

• Cry

Factor the polynomial.

Write your answer with NO SPACES, the ^ for exponents, and NO =

Factor the polynomial.

Write your answer with NO SPACES, the ^ for exponents, and NO =

Factor the polynomial.

Write your answer with NO SPACES, the ^ for exponents, and NO =

Factor the polynomial.

Write your answer with NO SPACES, the ^ for exponents, and NO =

Factor the polynomial.

Write your answer with NO SPACES, the ^ for exponents, and NO =