Factoring Review

Factoring Trinomials a=1

100

x^2+15x+50

(x+5)(x+10)

200

x^2-2x-63

(x+7)(x-9)

300

x^2-16x+64

(x-8)(x-8)

(x-8)^2

400

2x^3-34x^2+140x

2x(x-7)(x-10)

500

-4x^2-4x^3+168x^2

-4x^2(x^2+x-42)

Factoring Trinomialsa>1

100

2x^2+11x+9

(2x+9)(x+1)

200

4x^2+3x-27

(4x-9)(x+3)

300

6x^2-7x+1

(6x-1)(x-1)

400

-6x^2-50x-16

-2(3x+1)(x+8)

500

12x^3+26x^2-16x

2x(3x+8)(2x-1)

Difference of Squares

100

100x^2-81

(10x-9)(10x+9)

200

1-64x^2

(1-8x)(1+8x)

300

x^4-25

(x^2-5)(x^2+5)

400

x^4-16

(x^2+4)(x+2)(x-2)

500

8-2x^4

2(2+x^2)(2-x^2)

Completing the Square

100

x^2-10x+16

(x-5)^2-9

200

x^2-6x-7

(x-3)^2-16

300

x^2-6x-40

(x-3)^2-49

400

x^2-4x=45

(x-2)^2-49

500

x^2-19x+102=-x-6

(x-9)^2+27

Mixed Practice

100

Given:  x^2-6x+5=0 

Step 1:  x^2+6x=-5 

Step 2:  x^2+6x+[_] =[_] 

Step 3:   (x+3)^2-4 

x^2+6x+9=4

200

Given:  x^2-10x+9 

Step 1:  x^2-10x=-9 

Step 2:  x^2-10x+[_]=[_] 

Hint: Find the vertex form first and work backwards!

x^2-10x+25=16

300

Solve for x. 

x^2=64

x=-8 and x=8

Must get both to get points. 

400

Solve for x. 

x^2+8=33

x=-5 and x=5

Must get both to get points. 

500

Solve for x. (Hint: You will get two solutions written as points.)

x^2+10x+16=0

(-2,0) and (-8,0)