Algebra II: Factoring Review

Difference of Squares

100

Factor completely

36k²-1

(6k+1)(6k-1)

200

Factor completely

x²-9y²

(x+3y)(x-3y)

300

Factor completely

196n²-144

4(7n+6)(7n-6)

400

Factor completely

125m⁴-20n⁴

5(5m²+2n²)(5m²− 2n²)

500

Factor completely

4x⁴m-36y⁴m

4m(x²+3y²)(x²−3y²)

Sum and Difference of Cubes

100

Factor completely

1-125x³

(1-5x)(1+5x+25x²)

200

Factor completely

8x³-27y³

(2x-3y)(4x²+6xy+9y²)

300

Factor completely

64x³+27

(4x+3)(16x²-12x+9)

400

Factor completely

64a³-1

(4a-1)(16a²+4a+1)

500

Factor completely

27x³+125

(3x+5)(9x²-15x+25)

Trinomials

100

Factor completely

x²+6x+5

(x+1)(x+5)

200

Factor completely

2n²+6n-108

2(n+9)(n-6)

300

Factor completely

6v²+66v+60

6(v+10)(v+1)

400

Factor completely

b²+16b+64

(b+8)²

500

Factor completely

4v²-4v-8

4(v+1)(v-2)

Polynomials

100

Factor completely

4m³+8m²+7m+14

(4m²+7)(m+2)

200

Factor completely

180p³-30p²+216p-36

6(5p²+6)(6p-1)

300

Factor completely

343p³+196p²+196p+112

7(7p²+4)(7p+4)

400

Factor completely

7a³+2a²+42a+12

(a²+6)(7a+2)

500

Factor completely

8m³+32m²-8m-32

8(m-1)(m+1)(m+4)