Factoring and Solving Quadratics Practice

Factor $x^2+9x+20$  completely.

• (x-5)(x-4)

• (x+2)(x+10)

• (x+5)(x+4)

• (x+3)(x+6)

Factor $x^2-9x+20$  completely.

• (x-5)(x-4)

• (x+2)(x+10)

• (x+5)(x+4)

• (x+3)(x+6)

Factor x² - 16 completely.

• Prime

• ( x - 4) ( x + 4)

• ( x - 8) ( x + 8)

• ( x - 4) ( x - 4)

Which of the following is a factor of 3x²-17x+10?

• (3x-2)

• (x+5)

• (3x+2)

• (3x+5)

Solve by factoring:
x² + 3x - 18 = 0

• x = -3 and x = 6
• x = 3 and x = -6
• x = -9 and x = 2
• x = 9 and x = -2

Solve for x by factoring.
x² -8x +12=0

• -6, -2
• -2, 6
• 2, 6
• -6, 2

Solve by factoring:
x² + 3x - 18 = 0

• x = -3 and x = 6
• x = 3 and x = -6
• x = -9 and x = 2
• x = 9 and x = -2

What are the roots?
(x + 5)(2x - 3) = 0

• x = 5 ; x =  -³/₂
• x = -5 ; x = ³/₂
• x = -5 ; x = 3
• 2x² + 7x - 15

Solve by factoring & using the zero product property.

2x² + 2x - 12 = 0

• x = 3 ; x = -3

• x = 12 ; x = -12

• x = -3 ; x = 2

• x = -2 ; x = 2

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3