REVIEW ON FACTORING

Factoring by grouping

100

8r³ − 64r² + r−8

(8r² +1)(r−8)

200

12p³ −21p² +28p−49

(3p² +7)(4p−7)

300

49x³ − 35x² + 56x − 40

(7x² +8)(7x−5)

400

 24p³ + 15p² − 56p − 35

 (3p² −7)(8p+5)

500

56xw + 49x²k − 24yw − 21yk²

 (7x − 3y)(8w + 7k²)

Factoring trinomials when a>1

100

Factor 2x^2-7x+6

(2x-3)(x-2)

200

Factor 9x^2+6x+1

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

300

Factor 2x^2-x-6

(x-2)(2x+3)

400

Factor 4y^2+12y+9

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

500

Factor: ax^2-bx-ax+b

(x-1)(ax-b)

Factor using the GCF

100

Factor 3x^2-12x

3x(x-4)

200

Factor: x^(b+1)-x^b

x^b (x-1)

300

Factor: y^(a+2)+2y^a

y^a (y^2+2)

400

Factor: 4ab^2-12a^2b

4ab(b-3a)

500

x^(2+k)-4x^4

x^2(x^k-4x^2)

Factor completely

100

Factor completely: a^2b^2-144a^2

a^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: 2x^3+14x^2-60x

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

500

Factor completely: 80-5d^2

5(4+d)(4-d)

Factoring he difference of two perfect squares

100

Factor: x^2-16

(x+4)(x-4)

200

Factor: 9-x^2

(3+x)(3-x)

300

25y^2-4k^2

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

400

(1/4)x^2-(49/25)

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

500

x^2+100

Can not be factored because of the plus sign.