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

Completely factor:

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:

4ab²-12a²b

4ab(b-3a)

300

Factor:

x^(b+1)-x^b

x^b(x-1)

400

Factor:

y^(a+2)+2y^a

y^a(y²+2)

500

Factor:

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 the difference of two perfect squares (DOTS)

100

Factor:

x²-16

(x+4)(x-4)

200

Factor:

9-x²

(3+x)(3-x)

300

Factor:

25y²-4k²

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

400

Factor:

1/4x^2-49/25

(1/2x-7/5)(1/2x+7/5)

500

Factor:

x²+100

Can not be factored because of the plus sign.