Polynomials & Factoring

Add & SubtractPolynomials

100

(x²⁺13)+(3x²+4)

4x²+17

200

(4x³+2x²+x-1)+(x³+x²+x+3)

5x³+3x²+2x+2

300

(5m²+3m-2)-(m²+3m+8)

4m²-10

400

(n⁴-3n+8)-(2n³-n⁴+6)

2n⁴-2n³-3n+2

500

(-3x+x³+2x²-9)-(12-4x²+3x+x³)

6x²-6x-21

Multiply Polynomials

100

3(x²-x-4)

3x²-3x-12

200

4m²(2m²+3m-4)

8m⁴+12m³-16m²

300

-m³(2m-3)-6(m²-1)

-2m⁴+3m³-6m²+6

400

2m(m²-3m+4)-6m³

-4m³-6m²+8m

500

x²y(2x-3xy+5xy³)

2x³y-3x³y²+5x³y⁴

Binomials

100

(x+3)(x-3)

x²-9

200

(x²+4)(2x-9)

2x³-9x²+8x-36

300

(-2x²-1)(3x+4)

-6x³-8x²-3x-4

400

(2x+9)(4x-3)

8x²+30x-27

500

(3x-2y)²

9x²-12xy+4y²

Factor Polynomials

100

9x⁴-21x³+3x²-12x

3x(3x³-7x²+x-4)

200

x²+4x+3

(x+1)(x+3)

300

6x²+x - 2

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

400

10x²-14x-12

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

500

9n²-16

(3n+4)(3n-4)

Factor Completely

100

14x³+21x²+16x+24

(7x²+8)(2x+3)

200

10x³+16x²-15x-24

(2x²-3)(5x+8)

300

9a³-12a²+18a-24

3(a²+2)(3a-4)

400

-8y+49y²+14y³-28

(7y²-4)(2y+7)

500

30m⁵+24m³n-35m²n²-28n³

(6m³-7n²)(5m²+4n)