FACTORING TRINOMIALS

Factoring trinomialsa = 1

100

Factor x²+8x+12

(x+6)(x+2)

200

Factor m²-11m+18

(m-9)(m-2)

300

Factor x²+5x-24

(x+8)(x-3)

400

Factor y²-6y-7

(y-7)(y+1)

500

Factor x²-13x-30

(x+2)(x-15)

Factoring trinomialsa > 1

100

Factor 2x²+7x+3

(2x+1)(x+3)

200

Factor 5n²+26n+5

(5n+1)(n+5)

300

Factor 3x²-10x+7

(3x-7)(x-1)

400

Factor 7x²-36x+5

(7x-1)(x-5)

500

Factor 2x²-12x+10

2(x-1)(x-5)

Factoring Difference of 2 Squares

100

Factor x²-4

(x+2)(x-2)

200

Factor 4x²-16

4(x+2)(x-2)

300

Factor 25x²-9

(5x+3)(5x-3)

400

Factor 63x²-28

7(3x+2)(3x-2)

500

Factor x⁴-1

(x²+1)(x+1)(x-1)

Factoring by Grouping

100

Factor by Grouping 12x³-20x²+9x-15

(4x²+3)(3x-5)

200

Factor by grouping 12x³-3x²+4x-1

(3x²+1)(4x-1)

300

Factor by grouping 64xy+8x-8y-1

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

400

Factor by grouping 56xy+32x-21y-12

(8x-3)(7y+4)

500

Factor by grouping 60haz+56h²b-70h²a-48hbz

2h(5x-4b)(6z-7h)

Review

100

Solve for x: 3x-7=11

x=6

200

2x+8=5x-7

x=5

300

Solve the system of equations by using substitution. 3y+2x=32, x=7

(7, 6)

400

What is the slope and y-intercept of the following line? y=5x-2

Slope=5 Y-Intercept=(0, -2)

500

Solve the system of equations by using elimination. 2x + y = 9, 3x – y = 16

(5, -1)