Factor Quadratics to Find Roots

What are the solutions to the quadratic equation?

• 0 and 5

• 0 and -5

• 5 and -5

• 1 and 5

Solve using the Zero Product Property.

(x + 4)(x − 3) = 0

• x = 4 and x = −3

• x = 2 and x = 1

• x = −4 and x = 3

• x = −2 and x = 1

Solve using the Zero Product Property.

7x(x − 6) = 0

• x =7 and x = −6

• x = 0 and x = 6

• x = 0 and x = −6

• x = 7 and x = 6

The following quadratic has been factored for you. Use the Zero Product Proerty to find the correct solutions.

(2n - 5)(n + 7) = 0

• n = 2/5 and n = -7

• n = 5/2 and n = -7

• n = 2/5 and n = 7

• n = -5/2and n = 0

Carefully factor and solve on paper. Then choose the correct solutions.

b² + 12b + 35 = 0

• b = 5 and b = 7

• b = -5 and b = -7

• b = -5 and b = 7

• b = 5 and b = -7

What are the solutions for the quadratic:

d² + 19d + 60 = 0

• d = -10 and d = -6

• d = -3 and d = -20

• d = -4 and d = -15

• d = 4 and d = 15

Factor and solve on paper. Then choose the correct solutions.

x² + 12x = 0

• x = 2 and x = 6

• x = -3 and x = -4

• x = 0 and x = 12

• x = 0 and x = -12

What are other names for the solutions to quadratic equations? Select ALL that apply.

• x-intercepts

• y-intercepts

• roots

• zeros

HOW MANY zeros does this parabola have? 

• 4

• 2

• 0

• 1

x² + 5x - 24

• (x - 8)(x + 3)

• (x + 8)(x - 3)

• (x + 6)(x - 4)

• (x + 12)(x - 2)