Solve 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

Solve by factoring: x² = 9x - 20

• x = -4 and x = -5

• x = 20 and x = -9

• x = 4 and x = 5

• x = -4 and x = 5

Solve by factoring:  2x²+ 7x + 6 = 0

• x= 3/2 and x = 2

• x = -3/2 and x = -2

• x = 6 and x = 7

• x = -6 and x = -7

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 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

• -2, 4
• -8
• ±8
• No real solution

• -4, 2
• -2, 4
• -16
• -4

Solve by factoring: x² = 7x + 18 (a)  

• -7 and -18

• 9 and 2

• 9 and -2

• 2 and 7

What are the solutions?

• -2, 4

• -8

• ±8

• No real solution

• -2, 4
• -8
• ±8
• No real solution