FACTORING POLYNOMIALS

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-x-56

(x-8)(x+7)

Factoring Trinomials- harder

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 - 25

(x + 5)(x - 5)

200

Factor: 16x² - 9

(4x + 3)(4x - 3)

300

Factor: x⁴ - 9

(x² + 3)(x² - 3)

400

Factor: 4x² - 4x + 1

(2x - 1)²

500

Factor: 16x² - 40x + 25

(4x - 5)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)

Miscellaneous Factoring

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