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:  m²- 8m + 12

(m - 6 )(m - 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: 3mn - 6n²

3n(m - 2n)

300

Factor: 6a²b³ + 12a²b

6a²b(b² + 2a²)

400

Factor: 27x³ - 6y

3(9x³ -2y)

500

2x³y⁸ + 6x⁴y²+10x⁵y¹⁰

2x³y²(y⁶ + 3x + 5x²y⁸)

Factoring he 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

1 - a²

(1 - a )(1 + a)

500

x^2+100

Can not be factored because of the plus sign.