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 with Difference of Squares

100

Factor 16x²-4

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

200

Factor 25x²-16

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

300

Factor 36x²-16y²

(6x-4y)(6x+4y)

400

Factor 81x²-100y²

(9x-10)(9x+10)

500

Factor: x⁴-16y²

(x²-4y)(x²+4y)

Factor using the GCF

100

Factor 3x²-12x

3x(x-4)

200

Factor: x^b+1-x^b

x^b (x-1)

300

Factor: y²+6y

y(y+6)

400

Factor: 4ab²-12a²b

4ab(b-3a)

500

12x³+6x²-3x

3x(4x²+2x-1)

Factor completely

100

Factor completely: a²b²-144a²

a²(b+12)(b-12)

200

Factor completely: x⁴-625

(x+5)(x-5)(x²+25)

300

Factor completely: y⁴-81

(y²+9)(y+3)(y-3)

400

Factor completely: 2x³+14x²-60x

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

500

Factor completely: 80-5d²

5(4+d)(4-d)

Factoring by grouping

100

Factor: x³-4x²+3x-12

(x²+3)(x-4)

200

Factor: 25n³-10n²-20n+8

(5n²-4)(5n-2)

300

25x³-10x²-5n+2

(5x²-1)(5x-2)

400

30a³-18a²-5a+3

(6a²-1)(5a-3)

500

49x³-7x²+7x-1

(7x²+1)(7x-1)