Factoring Higher Order Polynomials

Factor by grouping:
3x³-x²+6x-2

• (x²+2)(3x+1)

•  (x²+2)(3x-1)

• (3x³+6x)(x²-2)

• none of the aboe

factor completely 
81m² - 1 

• not factorable

• (m-9)(m+9)

• 9m(9m-1)

• (9m-1)(9m+1)

Factor: 2x⁴ + x² − 10

• (x² + 5)(x − 2)(x + 2)

• (2x² − 5)(x² + 2)

• (2x² + 5)(x² − 2)

• (2x² + 5)(x − 2)(x + 2)

2n³ + 7n² - 2n - 7

• cannot be factored

• (n - 1)²(2n + 7)

• (n² - 1)(2n + 7)

• (n + 1)(n - 1)(2n + 7)

Factor. 
x³ + 125

• (x + 5)(x² - 5x + 25)

• (x + 5)(x - 5)

• (x - 5)(x² + 5x + 1)

• prime

Solve

2x³ - 19x² + 38x + 24=0 given that (x-4) is a factor.

• x = 1/2, -6, 4

• x = -1/2, 6, -4

• x = 4, -1/2, 6

• x = -4, 1/2, -6

Solve

x³ +7x² +7x -15=0 given that (x -1) is a factor

• 1, -5, 3

• 1, -5, -3

• -1, -5, 3

• -1, 5, 3

Solve the equation if you know (x-5) is a factor.

x³ - 5x² + 2x - 10=0

x⁴ + 7x² - 30=0

a⁴ - a² - 12=0