REVIEW ON FACTORING

Factoring trinomials when a=1

100

Factor: x²+10x+25

(x+5)(x+5)

200

Factor: x²-12x+27

(x-9)(x-3)

300

Factor: x²+2x-24

(x+6)(x-4)

400

Factor: x²-5x+6

(x-3)(x-2)

500

Factor completely: x²-8x-7

prime

Factoring trinomials when a>1

100

Factor 2x²-7x+6

(2x-3)(x-2)

200

Factor 9x²+6x+1

(3x+1)(3x+1)

300

Factor 2x²-x-6

(x-2)(2x+3)

400

Factor 4y²+12y+9

(2y+3)(2y+3)

500

Factor: 3a²-16ab+5b²

(3a-b)(a-5b)

Factor using the GCF

100

Factor 3x²-12x

3x(x-4)

200

Factor: 20x⁵-18x⁴

2x⁴(10x-9)

300

Factor: -51x³+3x

-3x(17x²-1)

400

Factor: 4ab²-12a²b

4ab(b-3a)

500

49yz⁶-21x³y²z³

7yz³(7z³-3x³y)

Factor completely

100

Factor completely: a²b²-144a²

a²(b+12)(b-12)

200

Factor completely: x⁴-625

(x+5)(x-5)(x²+25)

300

Factor completely: y⁴-81

(y²+9)(y+3)(y-3)

400

Factor completely: 2x³+14x²-60x

2x(x+10)(x-3)

500

Factor completely: 32x³y²-56x²y³+12xy⁴

4xy²(4x-y)(2x-3y)

Difference of squares or sum/difference of cubes

100

Factor: x²-16

(x+4)(x-4)

200

Factor: 9-x²

-(x+3)(x-3)

300

25y²-4k²

(5y+2k)(5y-2k)

400

x³-125

(x-5)(x²+5x+25)

500

x²+100

Prime