Solving Quadratic Expressions by Factoring

Factor
d² - 10d + 25

• (d + 5) (d - 5)

• (d - 15) (d + 10)

• (d + 5) (d - 20)

• (d - 5) (d - 5)

Tags

CCSS.HSA.APR.C.4

Factor Completely: 2x² + x - 6

• (x + 2) (2x -3)

• (x - 6) (2x + 1)

• (x + 1) (2x - 6)

• (x - 2) (2x + 3)

Find the factors of x²-81

• (x-9)(x+9)

• (x+9)(x+9)

• (x-9)(x-9)

• Can't be factored

Tags

CCSS.HSA.APR.C.4

What is a method of checking your work when factoring?

• FOIL

• asking the teacher every time

• assume you're correct

• division

• -2, 4
• -8
• ±8
• No real solution

Tags

CCSS.HSA-REI.B.4B

Solve 2x² - 7x + 6 = 0 by factoring. Match the steps

• Step 1

• Multiply 2 by 6 

• Step 2

• After dividing by 2, set your factors

• Step 3

• Solve for x

• Step 4

• Look for two numbers which when multiplied will give 12 and when added gives -7

• Step 5

• When you get the two numbers, divide by 2 

Tags

CCSS.HSA-REI.B.4B

Solve by factoring: x² - 9x + 20 = 0

Mathematical Equivalence

ON

Tags

CCSS.HSA-REI.B.4B

Solve the quadratic equation by factoring a² + 10a + 21 = 0 (a)  

• -3 , -7

• ± √21

• 3 , 7

• 28 , -7

Tags

CCSS.HSA-REI.B.4B

e

d

c

a

-4

-6

-12

(x + 2)(x - 6)

2

What is the factored form of x²+16x+15

• (x+1)(x+15)

• (x+3)(x+5)

• (x-3)(x-5)

• (x-1)(x+15)