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: 6x⁴-15x³+21x²

3x²(2x²-5x+7)

300

Factor: 6x²-36xy

6x(x-6y)

400

Factor: 7x²+9xy

x(7x+9y)

500

4p²a+9pa+2a

a(p+2)(4p+1)

Factoring the difference of perfect squares

100

Factor:    x²-16

(x+4)(x-4)

200

Factor: x²-9

(x+3)(x-3)

300

Factor:    4x²-9

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

400

Factor: 50x²-72

2(5x+6)(5x-6)

500

Factor:     x²+100

Prime, cannot be factored because of the plus sign.

Division of Polynomials

100

Divide:

(x²-3x-28)/(x-7)

x+4

200

Divide:

(x²-7x+10)/(x-1)

x-6+(4/(x-1))

300

Divide:

(x³-10x²+20x+26)/(x-5)

x²-5x-5+(1/(x-5))

400

Divide:  (7x²+53x+28)/(7x+4)

x+7

500

Divide: (50x³+10x²-35x-7)/(5x-4)

10x²+10x+1+(-3/(5x-4))