REVIEW ON FACTORING

Factoring trinomials when a=1

100

 x²+10x+25

(x+5)(x+5)

200

x²-12x+27

(x-9)(x-3)

300

x²+2x-24

(x+6)(x-4)

400

x²-5x+6

(x-3)(x-2)

500

 y⁴-7y²-18

(y-3)(y+3)(y²-2)

Factoring trinomials when a>1

100

2x²-7x+6

(2x-3)(x-2)

200

9x²+6x+1

(3x+1)(3x+1)

300

2x²-x-6

(x-2)(2x+3)

400

4y²+12y+9

(2y+3)(2y+3)

500

ax²-bx-ax+b

(x-1)(ax-b)

Factor using the GCF

100

3x²-12x

3x(x-4)

200

x⁵-x⁶

 x⁵(1 - x)

300

12y⁴  + 4y² - 3y

y(4y³ + 4y - 3)

400

4ab²-12a²b

4ab(b-3a)

500

16x⁶ - 4x⁴ + 8x²

4x²(4x⁴ - x² + 2)

Factor completely

100

a²b²-144a²

a²(b+12)(b-12)

200

x⁴-625

(x+5)(x-5)(x²+25)

300

y⁴-81

(y²+9)(y+3)(y-3)

400

2x³+14x²-60x

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

500

80-5d²

5(4+d)(4-d)

Factoring the 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

36x² - 100

4(3x + 5)(3x - 5)

500

x²+100

Can not be factored because of the plus sign.