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 2x²-7x+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: ax²-bx-ax+b

(x-1)(ax-b)

Factor using the GCF

100

Factor 3x²-12x

3x(x-4)

200

Factor: 24x³-8x²

8x² (3x-1)

300

Factor: 102y²⁴+2y

2y (51y²³+1)

400

Factor: 4a³-12a²+36a-224

4(a³-3a²+9a-56)

500

273x²¹-21x¹

21x(13x²⁰-1)

Factor completely

100

Factor completely:2b²-288

2(b+12)(b-12)

200

Factor completely: x^4-625

(x+5)(x-5)(x^2+25)

300

Factor completely: y^4-81

(y^2+9)(y+3)(y-3)

400

Factor completely: 2x³+14x²-60x

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

500

Factor completely: 80-5d²

5(4+d)(4-d)

Factor (special cases)

100

Factor: x²-16

(x+4)(x-4)

200

Factor: 9-x²

(3+x)(3-x)

300

25y²-4k²

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

400

x²-(49/25)

(x-7/5)(x+7/5)

500

x²+100

Can not be factored because of the plus sign.