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: 3x²-10x+7

(3x-7)(x-1)

400

Factor into two binomials: 5n²+26n+5

(5n+1)(n+5)

500

Factor into two binomials: 7x²-36x+5

(7x-1)(x-5)

Operations with polynomials

100

(5 + 2x + 3x²) + (7x² + 9 – 2x)

 10x²+14

200

(-3x² + 5xy – 2y²) - (y² + 5xy – 9y)

-3x²-3y²-9y

300

(n + 4m)(2n – 3m)

2n²+5mn+12m²

400

(x + 4) (6x² + 2x – 8)

6x³+26x-32

500

If the length of a rectangle in terms of x is 3x² + 7x + 9, and its width is 3x + 6, what is the perimeter of this rectangle?

 6x²+20x+30

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: 18x³, 32x²+6x

2x

500

Find the GCF: 12m⁴n³, 6m³n², 24m²n⁴

6m²n²

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)

Solving Quadratics

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