Factoring Polynomials

Factoring when a=1

100

Solve b²+8b+7

(b+1)(b+7)

200

Solve n²-11n+10

(n-10)(n-1)

300

Solve n²+4n-12

(n-2)(n+6)

400

Solve m²+m-90

(m+10)(m-9)

500

Solve b²+16b+64

(b+8)(b+8)

Adding & Subtracting

100

Solve (5p²-3)+(2p²-3p³)

-3p³+7p²-3

200

Solve (a³-2a²)-(3a²-4a³)

5a³-5a²

300

Solve (-4k⁴+14+3k²)+(-3k⁴-14k²-8)

-7k⁴-11k²+6

400

Solve (3-6n⁵-8n⁴)-(-6n⁴-3n-8n⁵)

2n⁵-2n⁴+3n+3

500

Solve (14p⁴+11p²-9p⁵)-(-14+5p⁵-11p²)

-14p⁵+14p⁴+22p²+14

Factoring when a>1

100

Solve 7x²-12x+5

(x-1)(7x-5)

200

Solve -5x²-4x+12

(x+2)(-5x+6)

300

Solve 2m²-5m-18

(2m-9)(m+2)

400

Solve 8w²-84w+40

4(w-10)(2w-1)

500

Solve 2x²-5x-3

(2x+1)(x-3)

Distributive Property

100

Solve 7x(6x+4y)

42x²+28xy

200

Solve 4a(8a-8b)

32a²-32ab

300

Solve 3n(n²-6n+5)

3n³-18n²+15n

400

Solve 2k³(2k²+5k-4)

4k⁵+10k⁴-8k³

500

Solve -3(x²+4x-2)

-3x²-12x+6