Solving Quadratics by Factoring

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

a² + 2a − 24 = 0

• a = −6, 4

• a = 6, −4

• a = 12, −2

• a = 8, −3

Factor and solve:

z² − 14z + 45 = 0

• z = 1, 45

• z = −1, 45

• z = −5, 9

• z = 5, 9

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 (x −11)(5x + 1) = 0

Solve by factoring: x2 + 3x - 18 = 0 (a)  

• x = -3 and x = 6

• x = 3 and x = -6

• x = -9 and x = 2

• x = 9 and x = -2

Solve the equation by factoring.

• x = {3,8}

• x = {-3,8}

• x = {3,-8}

• x = {-3,-8}

• A

• B

• C

• D

Practice Problem 7

Smaller answer

Mathematical Equivalence

ON

• A
• B
• C
• D

What are the solutions?

• -2, 4

• -8

• ±8

• No real solution