FACTORING TRINOMIALS

Factoring trinomials

100

Factor into two binomials- x²+8x+12

(x+6)(x+2)

200

Factor into two binomials- m²-11m+18

(m-9)(m-2)

300

Factor into two binomials- x²+5x-24

(x+8)(x-3)

400

Factor into two binomials- y²-6y-7

(y-7)(y+1)

500

Factor into two binomials- x²-13x-30

(x+2)(x-15)

Factoring trinomials - Coefficient

100

Factor into two binomials- 2x²+7x+3

(2x+1)(x+3)

200

Factor into two binomials- 5n²+26n+5

(5n+1)(n+5)

300

Factor into two binomials- 3x²-10x+7

(3x-7)(x-1)

400

Factor into two binomials- 7x²-36x+5

(7x-1)(x-5)

500

Factor into two binomials- 2x²-12x+10

(2x-2)(x-5)

Special Cases

100

Factor. x² - 9

(x+3)(x-3)

200

Factor. x² - 121

(x-11)(x+11)

300

Factor. x² + 12x + 36

(x+6)²

400

Factor. 4x² - 81

(2x-9)(2x+9)

500

Factor. x² - 30x + 225

(x-15)²

FACTOR BY GCF

100

Factor by GCF- 14n²+10n

2n(7n+5)

200

Factor by GCF- 18x³-6x

6x(3x²-1)

300

Factor by GCF- 8-4a²

4(2-a²)

400

Factor by GCF- 4x⁴+16x³-8x²

4x²(x²+4x-2)

500

Factor by GCF- 10a³b⁴-6a²b⁶

2a²b⁴(5a³-3b²)

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

y=6

400

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

Slope=5 Y-Intercept=-2

500

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

x=5, y=-1