4.1 - Factoring and Solving

Factor completely: 5x³ + 10x²

• 5x²(x + 2)

• 5x(x² + 2)

• 5(x³ + 2x²)

• x²(5x + 10)

Factor completely:

n² – 13n + 40

• (n – 5)(n – 8)

• (n + 5)(n – 8)

• (n – 5)(n + 8)

• (n + 6)(n + 1)

Factor completely: 4x² –16x – 9

• (2x – 9)(2x + 1)

• (2x + 9)(2x – 1)

• (4x – 1)(x + 9)

• (x + 1)(4x – 9)

Factor completely: 8x³ – 1

• (2x – 1)(4x² + 2x + 1)

• (2x + 1)(4x² – 2x + 1)

• (2x – 1)(4x² - 2x - 1)

• (2x + 1)(4x² +2x + 1)

Factor completely: 3x² – 75

• 3(x + 5)(x – 5)

• (3x + 25)(x – 3)

• (x + 5)(x – 5)

• 3(x – 5)²

Factor completely: 2x³ – 8x² – x + 4

• (2x² – 1)(x – 4)

• 2(x² – 1)(x + 4)

• (x² – 1)(2x – 4)

• (2x² + 1)(x – 4)

Solve:

x² – 14x = 0

• 0

• 14

• 0 and 14

• 0 and -14

Solve.

x² + 13x + 12 = 0

• x = -12, -1

• x = 12, 1

• x = 13, 1

• x = -13, -1

Solve:

4x² + 11x - 3 = 0

• x = -3/4 and x = -1

• x = 4 and x = 3

• x = 1/4 and x = -3

• x = -1/4 and x = 3

Solve:

x³ – 4x² – 4x + 16 = 0

• –4, ±2

• 4, 2

• –4, 2

• 4, ±2