Factoring Higher Order Polynomials

Factor by grouping.

30x³+15x²-18x-9

• (5x²-3)(6x+1)

• (5x²-3)(6x+3)

• 3(5x²+3)(2x-1)

• 3(5x²-3)(2x+1)

Factor by grouping. 2x³-8x²-x+4

• (2x²-1)(x-4)

• 2(x²-1)(x+4)

• (x²-1)(2x-4)

• (2x²+1)(x-4)

Factor using AC method: x⁴ − 7x² − 18

• (x + 3)²(x² − 2)

• (x − 3)²(x² + 2)

• (x² + 9)(x² − 2)

• (x − 3)(x + 3)(x² + 2)

Factor completely (AC method & difference of squares):

x⁴ + 4x² - 32

• (x - 4)(x + 8)

• (x² - 4)(x² + 8)

• (x - 2)(x + 2)(x + 4)(x + 4)

• (x - 2)(x + 2)(x² + 8)

Match each polynomial to its factored form:

• (x-4)(x+1)

• (x+4)(x-1)

• (x-4)(x-1)

• (x+4)(x+1)

Factor the GCF
39y⁵ + 12y⁴ - 3y³

• 3y(13y⁴ + 4y³ - y²)

• 3y³(13y² + 4y - 1)

• y³(39y² + 12y - 3)

• not factorable

Factor the polynomial completely (grouping).

• A

• B

• C

• D

Factor the polynomial completely (GCF & grouping).

• A

• B

• C

• D