Factoring and Solving Polynomial Equations

Factor Completely.
8x³ - 18x

• 2x(4x²-9)                                    

• (4x²+3)(2x-3)

• 2x(2x+3)(2x-3)

• PRIME

2x³-8x²-x+4

• (2x²-1)(x-4)

• 2(x²-1)(x+4)

• (x²-1)(2x-4)

• (2x²+1)(x-4)

Solve the polynomial equation and determine which graphis correct.

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Which of the following is NOT a solution to the function?

• x = -2

• x = -1

• x = 1

• x = 2

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:
30x³+15x²-18x-9

• (5x²-3)(6x+1)

• (5x²-3)(6x+3)

• 3(5x²+3)(2x-1)

• 3(5x²-3)(2x+1)

Factor:
x² - 400

• ( x - 200) ( x + 200) 

• ( x + 20) ( x + 20) 

• Prime

• ( x - 20) ( x + 20) 

Solve by Factoring:
x² + 15x + 64 = 20

• {-8, 2}

• {-7, 5}

• {-11, -4}

• {-11}

Factor 8z³+125

• (2z+5)(4z²-25)

• (2z+5)(4z²+10z+25)

• (2z+5)(4z²-10z+25)

• 4z+5)(2z²-5z+25)

Factor Completely:

256x⁴ - 81

• (16x² + 9)(16x² - 9)

• (16x² + 9)(4x + 3)(4x - 3)

• (4x² + 9)(4x² - 9)

• (16x² + 9)(2x + 6)(2x -6)