Polynomials

Combine Like Terms

100

3x²-2x+7x-x²

2x²+5x

200

(12x²+4x)-(3x²+2x)

9x²+2x

300

3x²-2x+5-4x³-6

-4x³+3x²-2x-1

400

-4m²-2m-6-3m-2m²

-6m²-5m-6

500

(3r²-2r)-(2r²-5r)

r²+3r

Find the GCF

100

4g+8

4

200

3x²-12x

3x

300

16x³-12x²+3x

x

400

-4w²m-2wm-16m

-2m

500

36x³y⁴+72x²y³-18xy²

18xy²

Multiplying Polynomials

100

2x(4x²-2x)

8x³-4x²

200

-3m(2mn+4m)

-6m²n-12m²

300

(2x+5)(x-4)

x²-3x-20

400

(3x+5y)(2x+7y)

6x²+31xy+35y²

500

(x-4)(2x²+3x-5)

2x³-5x²-17x+20

Factoring Trinomials

100

x²-5x-36

(x+4)(x-9)

200

m²-16m+48

(m-12)(m-4)

300

6r²-8r-30

(3r+5)(2r-6)

or

(6r+10)(r-3)

or 

2(3r+5)(r-3)

400

9x²+3x-30

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

500

6x²-23x+20

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

Special Cases

100

x²-25

(x+5)(x-5)

200

16x²-49

(4x+7)(4x-7)

300

16x²-24x+9

(4x-3)²

400

4x²+48x+144

(2x+12)²

500

121x²-66xy+9y²

(11x-3y)²