Polynomial Equations and Factoring

Factor:
x² - 5x

• 1(x - 5)
• x(x - 5x)
• x(x - 5)
• x²(1 - 5)

Factor by using GCF:
8n³ + 2n²

• 2n²(4n-1)
• 2n²(4n + 1)
• n²(8n+2)
• 3n(4n+1)

9x² - 49y⁶

• ( 3x + 7y³) (3x + 7y³) 
• ( 3x - 7y³) (3x + 7y³) 
• ( 3x - 7y³) (3x - 7y³) 
• Prime

Factor
x² -16x + 48

• (x - 12)(x - 4)
• (x + 6)(x - 8)
• (x + 12)(x - 4)
• (x -16)(x - 3)

Factor completely: 3x² - 7x + 2

• (x - 1) (3x + 2)
• (x - 2) (3x -1)
• (x - 1) (3x - 2)
• (x + 2) (3x + 1)

Factor the polynomial by grouping.

5n³ - 10n² + 3n - 6

• (5n² + 3)(n - 2)

• (5n² - 3)(n - 2)

• (5n³ + 3)(n - 2)

• 10n(n² - 6)

What is the factored form of

x³ + 7x² - 2x -14 ?

• (x² - 2)(x - 7)

• (x² + 2)(x - 7)

• (x² + 2)(x + 7)

• (x² - 2)(x + 7)

Solve the polynomial: 2x² -50=0

• x=0, 5, -5
• x=5, -5
• x=0, 25, -25
• x= 5/2, -5/2

Solve by grouping

x³ - 4x² -4x + 16

• 4 and 2

• -2, 2, 4

• -4 and 4

• -2 and-4

x² - 16

• Prime
• ( x - 4) ( x + 4) 
• ( x - 8) ( x + 8) 
• ( x - 4) ( x - 4)