Solving Quadratics by Factoring

What do the "Zeros" represent on a quadratic equation graph?

• x-intercepts

• y-intercepts

• vertex

• focus

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

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

Tags

CCSS.HSA-REI.B.4B

x² + 4x - 32 = 0

• x= -8, 4

• x= 8, -4

• x= -8, -4

• x = -2, 16

Tags

CCSS.HSA-REI.B.4B

Solve      3x² - 192 = 0

• -32 or 32
• No Solution
• -8 or 8
• -64 or 64

Solve the quadratic equation.

• x = -2, 4

• x = -8

• x = ±8

• No real solution

Solve by Factoring Completely:  3x² + 18x +15 = 0 Hint: Factor GCF first.

• x=5 x=-1

• x=3 x = 1

• x= -5 x= - 1

• x= -5 x = 1

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

Tags

CCSS.HSA-REI.B.4B

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