Quadratic Functions and Factoring

Convert x² - 9x + 20 to factored form and solve.

• (x-10)(x+2); x = -2, 10
• (x+4)(x+5); x = -5, -4
• (x-4)(x-5); x = 4, 5
• Not factorable

Factor 6x²-27x

• (6x+1)(x+3)
• 3x(2x-9)
• 6x(x-9)
• (3x-9)(2x+3)

ax²+bx+c=0  is the standard form of a quadratic equation.

• True
• False

The solutions of the quadratic equation 
x²+2x-15=0 are

• x = 3 or x = 5
• x = 5 or x = -3
• x = -5 or x = 3
• x = -3 or x = -5

The solutions of the quadratic equation 
x²+12x+35=0 are

• x = -5 or x = -7
• x = 5 or x = 7
• x = -35 or x = -1
• x = -9 or x = -4

What are the solutions to this equation? (x-3)(x+2)=0

• x=3,-2
• x=-3,2
• x=2,3
• x=3,2

Solve by factoring:
x² - 6x + 5 = 0

• -6, -1
• -5, -1 
• 1, 6
• 5, 1

Solve
16a² - 9 = 0

• a = ^-3/₄, ³/₄ 
• a = ^-4/₃, ⁴/₃ 
• a = ^-9/₁₆, ⁹/₁₆ 
• a = ^-16/₉, ¹⁶/₉ 

Solve
a² + 2a - 24 = 0

• a = -6, 4
• a = 6, -4
• a = 12, -2
• a = 8, -3

Solve using Zero-Product Property.
(2x-2)(5x-5) = 0

• x = -1
• x = -1 or x = 1
• x = 1