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

(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)(3x+1)

300

Factor 2x²-x-6

(x-2)(2x+3)

400

Factor 4y²+12y+9

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

500

Factor: -5x²+x+4

-(5x+4)(x-1)

Factor using the GCF

100

Factor x²-2x

x(x-2)

200

Factor: 2x²+4x

2x(x+2)

300

Factor: 4x³-3x²

x²(4x-3)

400

Factor: 6x³-36x

6x(x²-6)

500

2x³-32x

2x(x-4)(x+4)

Factor completely

100

Factor completely: x²+2x+1

(x+1)² or (x+1)(x+1)

200

Factor completely: 2x²-50

2(x+5)(x-5)

300

Factor completely: 3x²-24x+48

3(x-4)² or 3(x-4)(x-4)

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: x²-16

(x+4)(x-4)

200

Factor: 9-x²

(3+x)(3-x)

300

25x²-4

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

400

-x²+100

-(x+10)(x-10) or (10-x)(10+x)

500

81x⁴-1

(9x²+1)(3x-1)(3x+1)