Polynomials Review

Factoring Trinomials

100

Factor x²+8x+12

(x+6)(x+2)

200

Factor m²-11m+18

(m-9)(m-2)

300

Factor n²+6n+5

(n+1)(n+5)

400

Factor x²+5x-14

(x+7)(x-2)

500

Factor x²+x-6

(x-2)(x+3)

Subtracting Polynomials

100

(7x+4)-(5x+8)

2x-4

200

(3x²+4x)+(2x²-3x)

5x²+x

300

(2x-4)-2(4x-2)

-6x

400

(6x²-5x+8)+(4x²-7x+9)

10x² -12x+17

500

(6x³+4x²-4x+5)-(2x³-3x²+5x-5)

4x³+x²+x+10

Factor by grouping

100

6v³-16v²+21v-56

(2v²+7)(3v-8)

200

4v³-12v²-5v+15

(4v²-5)(v-3)

300

m³-m²+2m-2

(m²+2)(m-1)

400

21xy+15x+35ry+25r

(3x+5r)(7y+5)

500

12bc-4bd-15xc+5xd

(4b-5x)(3c-d)

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(5a-3b²)

Multiplying Polynomials

100

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

6x²+12x+3

200

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

6x²-4x-10

300

(x-4)(x+4)

x² - 16  

400

(x-8)(x-8)

x² - 16x + 64     

500

(x+4)²      

x² +8x+16