Factor and solve quadratic equations

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

x² + 2x - 20 = 4

• x = -6, x = 4

• x = 6, x = -4

• x = 12, x = -2

• x = 8, x = -3

Factor x²-11x+24

• (x-3)(x-8)
• (x-2)(x-12)
• (x+3)(x+8)
• (x+2)(x+12)

Solve
x² + 13x + 12 = 0

• x = -12, -1
• x = 12, 1
• x = 13, 1
• x = -13, -1

What is the first step in solving

(x + 2)(x - 3) = 0 ?

• Plug in zero for x

• Solve for x

• distribute

• Set each binomial factor equal to zero

 $\left(c+6\right)\left(c-7\right)=0$  

•  $c=-6,\ c=7$  

•  $c=6,\ c=-7$  

•  $c=6,\ c=7$  

•  $c=-6,\ c=-7$  

Graph x² - x - 6 in Desmos. Find the zeros (x-intercept).

• 3

• 2

• -6

• -3

• -2

Factor:

x² + 11x + 24

• (x + 6)(x + 4)

• (x + 12)(x + 2)

• (x - 8)(x - 3)

• (x + 8)(x + 3)