FACTORING POLYNOMIALS

Add/Multiply

100

Factor completely:

x²+8x+12

(x+6)(x+2)

200

Factor completely:

m²-11m+18

(m-9)(m-2)

300

Factor completely:

x²+5x-24

(x+8)(x-3)

400

Factor completely:

-2y²+12y+14

-2(y-7)(y+1)

500

Factor completely:

3x²-3x-168

3(x-8)(x+7)

Master Product

100

Factor completely:

2x²+7x+3

(2x+1)(x+3)

200

Factor completely:

5n²+26n+5

(5n+1)(n+5)

300

Factor completely:

3x²-10x+7

(3x-7)(x-1)

400

Factor completely:

7x²-36x+5

(7x-1)(x-5)

500

Factor completely:

4x²-24x+20

4(x-1)(x-5)

Factor by Grouping

100

Factor completely:

3x³-15x²-5x+25

(3x²-5)(x-5)

200

Factor completely:

3x³-5x²-15x+25

(3x+5)(x²-5)

300

Factor completely:

3x³-6x²+15x-30

3(x-2)(x²+5)

400

Factor completely: (hint: reorder the polynomial)

2x²+ay-ax²-2y

(x²-y)(2-a)

500

Factor completely:

8x²+40x-6xy-30y

2(x+5)(4x-3y)

Factor by GCF

100

Factor completely: 

14n²+10n

2n(7n+5)

200

Factor completely:

18x³-6x

6x(3x²-1)

300

Factor completely:

8-4a²

4(2-a²)

400

Factor completely:

4x⁴+16x³-8x²

4x²(x²+4x-2)

500

Factor by GCF:

10a³b⁴-6a²b⁶

2a²b⁴(5a-3b²)

Miscellaneous Factoring

100

Factor completely:

10t⁵s⁴-40t³s⁹+15t⁴s²

5t³s²(2t²s²-8s⁷+3t)

200

Factor completely:

4x³+2x²-2x-1

(2x+1)(2x²-1)

300

Factor completely:

t²+7t-60

(t-5)(t+12)

400

A rectangular yard has an area of 6x²+7x-20. What are the dimensions of the yard?

(3x-4)(2x+5)

500

The volume of a box is 3x³+9x²-30x. What are the dimensions of the box?

3x(x+5)(x-2)