Polynomials, Factoring and Zeros

Factor
x² - 9x + 18 

• (x - 6)(x - 3) 

• (x + 6)(x - 3)

• (x - 9)(x - 2)

• (x - 6)(x + 3) 

Factor
81m² - 1 

• not factorable

• (m-9)(m+9)

• 9m(9m-1)

• (9m-1)(9m+1)

Tags

CCSS.HSA.APR.C.4

Factor Completely: x⁴-9x²

• x²(x+3)(x-3)

• (x²+3x)(x²-3x)

• (x²+9)(x-3)(x+3)

• x²(x²-9)

Tags

CCSS.HSA.APR.C.4

Factor Completely: 3x²+15x-72

• x(x+5)

• 3(x+8)(x-3)

• (3x+24)(x-3)

• 3(x-8)(x+3)

Factor Completely: 4k²+24k+36

• (2k+6)²

• (2k-6)²

• (2k-6)(2k+6)

• 4(k+3)²

Tags

CCSS.HSA.APR.C.4

Find all the roots of y=x³-2x²+4x-8  (Hint: Factor)

• -2, 2i, -2i

• 2, 2i, -2i

• 2,-2, 2i

• 1, 2i, 4

Tags

CCSS.HSF-IF.C.7C

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

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

Factor:
 2x² - 3x - 2

• (2x - 2)(x + 1)

• (2x + 1)(x - 2)

• (2x - 1)(x - 2)

• (2x - 1) (x - 1)

Factor:
 3x² + 5x - 12

• (3x + 4)(x-3)

• (3x - 4)(x + 3)

• (3x + 3)(x -4)

• (3x - 3)(x + 4)

Factor by grouping:
4p³+8p²+3p+6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)