Factor Quadratics to Find Roots

Look at the worked out example. Which 2 numbers represent the SOLUTIONS?

• -8 and -9

• -9 and 1

• 1 and -1

• 9 and -1

Factor and Solve: Remember the two numbers you choose when factoring, are not your solutions to the equation!

a² + 2a − 24 = 0

• a = −6 and a = 4

• a = 6 and a = −4

• a = 12 and a = −2

• a = 8 and a = −3

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

x² - 7x + 10 = 0

• x = -2 and x = -5

• x = 2 and x = 5

• x = 1 and x = -7

• x = -1 and x = 10

Choose the correct factored form for the quadratic expression:

x² - 12x + 27

• (x - 3)(x + 4)

• (x - 3)(x - 4)

• (x - 9)(x - 3)

• (x + 9)(x + 3)

• A
• B
• C
• D

Solve by factoring!

• -2, 4

• -8

• ±8

• No real solution

Solve the equation. (3 points)

What is another word for where a parabola passes the x-axis?

• y-intercepts

• roots

• vertex

• axis of symmetry

What are the values of x when y = 0?

• { -3, 1 }

• { -2 }

• { -3, -1 }

• { 1, 3 }

What are the roots of quadratic equation?

• Coefficients of the equation

• Solutions to the equation

• The highest exponent of the variable

• The graphical representation of the equation