REVIEW ON FACTORING

Factoring trinomials when a=1

100

Factor into two binomials: x²+10x+25

(x+5)(x+5)

200

Factor into two binomials: x²-12x+27

(x-9)(x-3)

300

Factor into two binomials: x²+2x-24

(x+6)(x-4)

400

Factor into two binomials: x²-5x+6

(x-3)(x-2)

500

Factor into two binomials: y²-7y-18

(y-9)(y+2)

Factoring trinomials when a>1

100

Factor 2x²-8x+6

2(x-3)(x-1)

200

Factor 3x²+6x+3

3(x+1)(x+1)

300

Factor 2x²-2x-6

2(x-3)(2x+1)

400

Factor 4y²+12y+8

4(y+2)(y+1)

500

Factor: -5x²+20x+60

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

Factor using the GCF

100

Factor 3x²-12x

3x(x-4)

200

Factor: x⁵-x²

x² (x³-1)

300

Factor: y⁶+2y⁴

y⁴ (y²+2)

400

Factor: 4ab²-12a²b

4ab(b-3a)

500

x⁷-4x³

x³(x⁴-4)

Factor completely

100

Factor completely: a²b²-144a²

a²(b+12)(b-12)

200

Factor completely: x²-625

(x+25)(x-25)

300

Factor completely: y²-81

(y+9)(y-9)

400

Factor completely: 2x³+14x²-60x

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

500

Factor completely: 80-5d²

5(4+d)(4-d)

Factoring he difference of two perfect squares

100

Factor: x²-16

(x+4)(x-4)

200

Factor: 9-x²

(3+x)(3-x)

300

25y²-4k²

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

400

4x²-49

(2x-7)(2x+7)

500

81x²-100

(9x-10)(9x+10)