Solve Quadratics by Factoring

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

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

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

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Solve using the Zero-Product Property

(x −11)(5x + 1) = 0

• x = 11 or x = $-\frac{1}{5}$

• x = −11 or x = $-\frac{1}{5}$

• x = 11 or x = $\frac{1}{5}$

• x = −11 or x = $\frac{1}{5}$

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Factor and Solve:

m² − 100 = 0

• m = 50 , −50

• m = 10

• m = 10, −10

• m = −10

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

Factor and Solve:    $16a^2-9=0$  

• a =   $-\frac{3}{4}$  ,  $\frac{3}{4}$  

• a =    $-\frac{4}{3}$  ,  $\frac{4}{3}$  

• a =   $-\frac{9}{16}$  ,  $\frac{9}{16}$  

• a =   $-\frac{16}{9}$  ,  $\frac{16}{9}$  

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

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.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

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

x² + 13x + 12 = 0

• x = −12, −1

• x = 12, 1

• x = 13, 1

• x = −13, −1

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Factor and solve:

z² − 14z + 45 = 0

• z = 1, 45

• z = −1, 45

• z = −5, 9

• z = 5, 9

Tags

CCSS.HSA.REI.B.4

Which is the correct factoring and solutions?
 $2h^2+11h+5\ =\ 0$  

• (2h +5)(h + 1);    h =   $-\frac{5}{2}$  ,  $-1$  

• (2h +1)(h + 5);    h =   $-\frac{1}{2},\ -5$  

• (2h +2)(h + 3)   h =  $-1,\ -3$  

• (2h +3)(h + 2)   h =   $-\frac{3}{2},\ -2$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Which is the correct factoring and solutions?  $2x^2+4x-16=0$  

• 2(x + 4)(x - 2) = 0;   x = -4, 2

• 2(x + 8)(x - 2) = 0;   x = -8, 2

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2