REVIEW ON FACTORING

Factoring trinomials when a=1

100

Factor into two binomials: x²+10x+25

(x+5)(x+5)

200

Factor into two binomials: x²-12x+27

(x-9)(x-3)

300

Factor into two binomials: x²+2x-24

(x+6)(x-4)

400

Factor into two binomials: x²-5x-84

(x-12)(x+7)

500

Factor into two binomials: y^4-7y^2-18

(y^2-9)(y^2-2)

Factoring trinomials when a>1

100

Factor 2x²-7x+6

(2x-3)(x-2)

200

Factor 9x²+6x+1

(3x+1)(3x+1)

300

Factor 2x²-x-6

(x-2)(2x+3)

400

Factor 4y²+12y+9

(2y+3)(2y+3)

500

Factor: 5x²+23x-10

(5x-2)(x+5)

Solving using factoring

100

Solve the following equation: 

x² + 5x + 6 =0

x = -2, x = -3 

200

Solve the following equation: 

x² + x - 12 =0

x = -4, x = 3 

300

Solve the following equation using factoring: 

x² + 12x + 32 =0

x = -8, x = -4

400

Solve the following equation using factoring: 

x² + 17x -200  =0

x = -25, x =8

500

Solve the following equation using factoring: 

3x² + 11x + 6 =0

x = -2/3 and x = -3

Random

100

Factor: x² + 6x + 9 

(x+3)(x+3)

200

Factor completely: x² +18x - 40 

(x+20)(x-2)

300

Solve using factoring: x² - x - 72 = 0

x = 9 and x = -8

400

Factor completely: 4x²+ 14x + 10 

(2x + 5) (2x+ 2) 

500

Solve using factoring: 3x² - 5x - 2

(3x +1)(x-2) so x = -1/3 and 2 

Factoring he difference of two perfect squares

100

Factor: x²-16

(x+4)(x-4)

200

Factor: 9-x²

(3+x)(3-x)

300

25y²-4k²

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

400

16x²  -  49

(4x-7)(4x+7)

500

x²-225

(x-15)(x+15)