Keystone Review Polynomials and Factoring

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group

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)

Tags

CCSS.HSA.APR.C.4

Factor by grouping: 4p³ + 8p² + 3p + 6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)

Factor by grouping:
x³+7x²-2x-14

• (x²-2)(x-7)

• (x²+2)(x-7)

• (x²+2)(x+7)

• (x²-2)(x+7)

Factor
k² - 2k - 24

• (k+4)(k-6)

• (k+4)(k+6)

• (k+6)(k-1)

• (k-4)(k+6)

Factor
x² - 9x + 18.

• (x - 3)(x - 6)

• (x + 6)(x - 3)

• (x - 9)(x - 2)

• (x - 6)(x + 3)

Factor
9x²-6x-8

• (3x+2)(3x-4)

• (3x+2)(3x+4)

• (3x-2)(3x-4)

• (x-1)(9x+8)

Factor 8x³ + 18x.

• 2x(4x² + 9)

• 8x(x² + 10)

• 2(4x³ + 9x)

• 8(x³ + 10x)

Factor
3x² + 5x - 12.

• (x + 3)(3x - 4)

• (3x + 4)(x - 3)

• (3x + 3)(x - 4)

• (3x - 3)(x + 4)

Factor completely.

2x² + 13x + 15

• (2x + 1)(x + 15)

• (x + 3)(x + 5)

• (2x - 3)(x - 5)

• (2x + 3)(x + 5)