Unit 1 - Factoring, Polynomial Equations/Inequalities

Factor:

125x³ - 1

• (5x-1)³

• (5x-1)(5x² + 5x + 1)

• (5x-1)(5x² - 25x + 1)

• (5x-1)(25x² + 5x + 1)

Factor:

x³ - 3x² - 13x + 39

• (x² - 13)(x + 3)

• (x² - 13)(x - 3)

• (x² + 13)(x + 3)

• (x² + 13)(x - 3)

Factor Completely:

x⁴ - 10,000

• (x² + 100)(x² - 100)

• x² - 100

• (x + 10)²(x - 10)²

• (x²+100)(x+10)(x-10)

Select ALL that are in fully factored form

• (x² - 1)(x + 3)

• 3x(x - 1)(x + 1)

• (x+1)(x² + 2x + 1)

• (2x + 4)(x - 3)

Factor:

3p² - 2p - 5

• (3p - 5)(p + 1)

• (3p + 5)(p - 1)

• (3p - 1)(p + 5)

• (3p + 1)(p - 5)

Factor:

2x² + 3xy - 10x - 15y

• (x - 5)(2x + 3y)

• (x + 5)(2x - 3y)

• (x - 2)(5 - 3y)

• (x - 3y)(2x + 5)

Which expression is equivalent to

30x² - 39x + 12 ?

• 6(5x - 1)(x - 2)

• 3(5x + 4)(2x - 1)

• (2x - 3)(15x + 4)

• 3(5x - 4)(2x - 1)

Factor completely:

4x² - 20x - 24

• 4(x - 3)(x - 2)

• 4(x - 3)(x + 2)

• 4(x - 6)(x + 1)

• 4(x + 6)(x - 1)

Factor completely:

2x⁴ + 250x

• 2x(x - 5)(x² - 5x + 25)

• 2x(x + 5)(x² + 5x + 25)

• 2x(x + 5)(x² - 5x + 25)

• 2x(x + 5)(x² - 5x - 25)

Solve:

x³ - 2x² - 3x = 0

• {-3, 0, 1}

• {-3, 1}

• {-1, 3}

• {-1, 0, 3}