Factoring Polynomials with GCF, Grouping, and Trinomials

Factor 8x³ + 18x.

• 2x(4x² + 9)

• 8x(x² + 10)

• 2(4x³ + 9x)

• 8(x³ + 10x)

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
3x² + 5x - 12.

• (x + 3)(3x - 4)

• (3x + 4)(x - 3)

• (3x + 3)(x - 4)

• (3x - 3)(x + 4)

Factor Completely: 8x⁴ + 2x³ − 16x² − 4x

• 2x²(4x + 1)(x − 2)

• 2x(4x + 1)(x² − 2)

• 2x(x + 1)(x − 1)

• 2(x² − 2)(4x − 1)

30x³+15x²-18x-9

• (5x²-3)(6x+1)

• (5x²-3)(6x+3)

• 3(5x²+3)(2x-1)

• 3(5x²-3)(2x+1)

Factor Completely:

• 3m(m² + 16)(m + 2)

• 3m(m² − 16)(m − 2)

• 3m(m + 4)(m − 4)(m + 2)

• 3m(m + 4)(m − 4)(m − 2)

Tags

CCSS.HSA.APR.C.4

3x³ + 9x² - 15x 

• x(3x² + 9x - 15) 

• 3x(x² + 3x - 5)

• 3x(x² - 9x + 15) 

• x(3x² -9x + 15) 

Factor by grouping:
5n³-10n²+3n-6

• (5n²+3)(n-2)

• (5n²-3)(n-2)

• (5n³+3)(n-2)

• 10n(n²-6)

Factor:
80x⁵-70x²-60x⁷

• 2x²(80x³-70-60x⁶)

• 10x²(80x⁴-70x-60x⁶)

• 10x²(8x³-7-6x⁶)

• 3x²(80x³-40-60x⁵)