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+14x+20

2(x+2)(x+5)

200

Factor into two binomials: 5n²+40n-100

5(n-2)(n+10)

300

Factor into two binomials:
-x²-10x-21

-(x+7)(x+3)

400

Factor into two binomials: 

x²-36

(x-6)(x+6)

500

Factor into two binomials:
2x³+8x²+6x

2x(x+1)(x+3)

Factor by Grouping

100

Find the GCF: 3x², 12x

3x

200

Find the GCF: 4x³, 10x²

2x²

300

Find the GCF: 2x⁵, 9x⁴

x⁴

400

Find the GCF: 16x³, 32x²

16x²

500

Find the GCF: 12m⁴n³, 6m³n¹⁰, 24m²n⁴

6m²n³

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

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