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: y⁴-7y²-18

(y²-9)(y²-2)

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: x^b+1-x^b

x^b (x-1)

300

Factor: y^a+2+2y^a

y^a (y²+2)

400

Factor: 4ab²-12a²b

4ab(b-3a)

500

x^2+k-4x⁴

x²(x^k-4x²)

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: 80-5d²

5(4+d)(4-d)

Factoring with trig functions

100

Factor: cos²x - 1

(cos + 1)(cos - 1)

200

Factor: 9 - sec²x

(3+sec x)(3 - sec x)

300

4sin²x - 1

(2sin x - 1)(2sin x + 1)

400

sin²x + 2sin x + 1

(sin x + 1)(sin x + 1)

500

3cos²x - 5cos x + 2

(3cos x - 2)(cos x - 1)