REVIEW ON FACTORING

Factoring trinomials

100

Factor:   x²+8x+15

(x+5)(x+3)

200

Factor into two binomials: x^2-12x+27

(x-9)(x-3)

300

Solve: x²-7x+11 = -1

(x-4)(x-3) = 0

x = 4, 3

400

Factor:  3x²-14x-5

(3x+1)(x-5)

500

Factor COMPLETELY: y⁴-7y²-18

(y+3)(y-3)(y²-2)

Completing the Square and the Quadratic Formula

100

Complete the square:   y²+10x +____

y²+10x+25

200

What is b? 

2x²-3x -4 = 2x+7

b=-5

300

Solve:  (x-4)² = 21

x = 4 plus/minus the square root of 21

400

Complete the square: 

x²-5/2x + _____

25/16

500

Solve: 

-16t² + 32t= -48

t = -1,3

GCF

100

Factor 3x²-12x

3x(x-4)

200

Factor: y(y-2) - 5(y-2)

(y-2)(y-5)

300

Name 1 solution to: 

2x²-4x-15x+30= 0

2x(x-2) -15(x-2) = 0

(x-2)(2x-15) = 0 

x=2,x=15/2

400

Completely factor: 

-24t³+12t²+72

-12t(2t²-t-6)

-12t(2t+3)(t-2)

500

y^a+2-2y^a

y^a(y²-2)

Misc

100

Solve: 

(x-4)(x+2) = 0 

x=4,-2

200

What is the discriminant and how many real solutions does the following equation have?

2x²-x+1 = 0

discriminant = -7

No real solutions

300

Simplify:   The square root of 288

12 root 2 

400

Factor completely: 2x³+14x²-60x

2x(x+10)(x-3)

500

Factor completely: 80-5d²

5(4+d)(4-d)

Difference of Two Squares and Perfect Square Trinomials

100

Factor: x²+16

Cannot be factored 

200

Factor: 9-x²

(3+x)(3-x)

300

25y²-4k²

(5y+2k)(5y-2k)

400

(1/4)x²-(49/25)

(1/2x-7/5)(1/2x+7/5)

500

Factor: 

4x²y²-12xyz+9z²

(2xy-3z)²