Factoring Polynomials

Factoring Polynomials

100

m⁴+4m²-45

(m²-5)(m²+9)

200

x⁴+6x²+5

(x²+5)(x²+1)

300

u⁴+5u²+4

(u²+1)(u²+4)

400

5m⁴-80m²+320

5(m²-8)²

500

2x⁴+38x²+180

2(x²+10)(x²+9)

Factoring Sum of Cubes

100

x³+8

(x+2)(x²-2x+4)

200

x³+216

(x+6)(x²-6x+36)

300

1+64x³

(1+4x)(1-4x+16x²)

400

32u³+500

4(2u+5)(4u²-10u+25)

500

3a³+375b³

3(a+5b)(a²-5ab+25b²)

Factoring Difference of Cubes

100

125x³-1

(5x-1)(25x²+5x+1)

200

x³-8

(x-2)(x²+2x+4)

300

3a³-375

3(a-5)(a²+5a+25)

400

a³-1

(a-1)(a²+a+1)

500

2x³-128y³

2(x-4y)(x²+4xy+16y²)

Factor by Grouping

100

28x³+7x²+20x+5

(7x²+5)(4x+1)

200

5a³-20a²+3a-12

(5a²+3)(a-4)

300

8x³+56x²+5x+35

(8x²+5)(x+7)

400

90p³+36p²+75p+30

3(6p²+5)(5p+2)

500

6xy+15x+10y+25

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

Factor Difference of Squares

100

4r²-9

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

200

9n⁴-16

(3n²+4)(3n²-4)

300

2n⁴-18

2(n²+3)(n²-3)

400

r⁶-4

(r³+2)(r³-2)

500

3r⁶-75

3(r³+5)(r³-5)