Solve Quadratics by Factoring

What are the factors AND solutions of x² + 2x – 3 = 0

• (x - 2)(x + 1); x=2, x=-1

• (x + 1)(x - 3); x=-1, x=3

• (x + 2)(x - 1); x=-2, x=1

• (x - 1)(x + 3); x=1, x=-3

Tags

CCSS.HSA-REI.B.4B

Factor
k² - 2k - 24

• (k+4)(k-6)

• (k+4)(k+6)

• (k+6)(k-1)

• (k-4)(k+6)

What are the values of x when y = 0?

• { -3, 1 }

• { -2 }

• { -3, -1 }

• { 1, 3 }

What is a method of checking your work when factoring?

• FOIL

• asking the teacher every time

• assume you're correct

• division

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-REI.B.4B

Factor and solve:

z² − 14z + 45 = 0

• z = 1, 45

• z = −1, 45

• z = −5, 9

• z = 5, 9

Tags

CCSS.HSA-REI.B.4B

Solve using the Zero-Product Property (x −11)(5x + 1) = 0

Tags

CCSS.HSA-REI.B.4B

Factor and Solve:

m² − 100 = 0

• m = 50 , −50

• m = 10

• m = 10, −10

• m = −10

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

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.4B