Alg 1 (S) - 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)

Write the GCF

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: 12m⁴, 6m³, 24m²

6m²

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: 14x⁵-21x⁴

7x⁴(2x-3)

500

Factor by GCF: 10b⁴-6b⁷

2b⁴(5-3b³)

Difference of Squares

100

Factor: x²-81

(x+9)(x-9)

200

Factor: x²-9

(x+3)(x-3)

300

Factor: x⁴-121

(x²-11)(x²+11)

400

Factor: 4x²-25

(2x+5)(2x-5)

500

Factor: 9a²-b²

(3a+b)(3a-b)

Miscellaneous

100

Solve for x: 

3x-7=11

x=6

200

Solve for x:

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 (m) and y-intercept (b) of the following line?

y=5x-2

m=

b=

m=5

b=-2

500

Solve the system of equations by using elimination. 

2x + y = 9

3x – y = 16

(5, -1)