REVIEW ON FACTORING

Factoring trinomials when a=1

100

Factor into two binomials: x²+10x+25

(x+5)²

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 completely: y⁴-7y²-18

(y+3)(y-3)(y²⁺2)

Factoring trinomials when a>1

100

Factor 2x²-7x+6

(2x-3)(x-2)

200

Factor 9x²+6x+1

(3x+1)²

300

Factor 2x²-x-6

(x-2)(2x+3)

400

Factor 4y²+12y+9

(2y+3)²

500

Factor: ax²-bx-ax+b

(x-1)(ax-b)

Factor using the GCF

100

Factor 3x²-12x

3x(x-4)

200

Factor: p³-p²-12p

p(p-4)(p-3)

300

What is the GCF of 26xy² and 39x²y?

13xy

400

Factor: 4t⁴-64t²

4t²(t-4)(t+4)

500

24p³q+81q

3q(2p+3)(4p²-6p+9)

Factor completely

100

Factor completely: a²b²-144a²

a²(b+12)(b-12)

200

Factor completely: x⁴-81

(x+3)(x-3)(x²+9)

300

Factor completely: 3y³-81

3(y-3)(y²+3y+9)

400

Factor completely: 2x³+14x²-60x

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

500

Factor completely: 80-5d²

5(4+d)(4-d)

Factoring 2 Terms

100

Factor: x²-16

(x+4)(x-4)

200

Factor: 9-x²

(3+x)(3-x)

300

25y²-4k²

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

400

x⁶+1000

(x²+10)(x⁴-10x²+100)

500

x²+100

Can not be factored because of the plus sign.