Factoring Polynomials

A/C Method

100

2x² + 7x - 15

(2x - 3) (x + 5)

200

x²+18x+32

(x+16)(x+2)

300

x²+10 x+24

(x+6)(x+4)

400

x²−15 x+56

(x-7)(x-8)

500

c²x²+x²

x²(c²+1)

grouping

100

4x+4y+Bx+By

(x+y)(4+b)

200

x²a+x²b−16a−16b

(a+b)(x-4)(x+4)

300

2x²+8x+3x+12

(x+4)(2x+3)

400

g⁴+g+g³+1

(g+1)²(g²-g+1)

500

2g³+2g²h²+3gh+3h³

(g+h²)(2g²+3h)

Multiplying Polynomials

100

8(6m+7)

48m+56

200

6(8u²+6uv-2v²)

48u²+36uv-12v²

300

(2n-3)(n+3)

2n²+3n-9

400

(8n+1)(8n²+n-8)

64n³+16n²-63n-8

500

(4p-4)(p²+2p+4)

4p³+4p²+8p-16

Subtracting Polynomials

100

(3x-4)-(2x+6)

x-10

200

(4x-3)+(7x+8)

11x+5

300

(4x²+5-7x⁴)+(x⁴-8+3x²)

-6x⁴+7x²-3

400

(7y³-3+7x²y⁴)-(5+3x²y⁴)-(2y³+1)

5y³-9+4x²y⁴

500

(5x³-x+2x²)+(7-4x)-(6x²+5x³-3)

-4x²-5x+10

Cubed

100

x³-8

(x-2)(x²+2x+4)

200

8x³-3x²+6

Prime

300

4a³-5a²+a

a(4a-1)(a-1)

400

5r³-30r-200

5(r+4)(r-10)

500

125x³+64

(5x+4)(25x²-20x+16)