REVIEW ON FACTORING

Factor 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: y²-7y-18

(y-9)(y+2)

Factor Trinomials when a>1

100

Factor 2x²-7x+6

(2x-3)(x-2)

200

Factor 9x²+6x+1

(3x+1)²

300

Factor 2x²-x-6

(x-2)(2x+3)

400

Factor 4y²+12y+9

(2y+3)²

500

Factor: 4x⁴-20x²+25

(2x²-5)²

Factor using the GCF

100

Factor out a common monomial: 3x²-12x

3x(x-4)

200

Factor out a common monomial: 8x²+16x+28

4(2x²+4x+7)

300

Factor out a common monomial: 13x³-26x²+39x

13x(x²-2x+3)

400

Factor out a common monomial: 4ab²-12a²b+2a

2a(2b²-6ab+1)

500

Factor out a common monomial: 4x⁵y³+8x²y+12x³y⁴

4x²y(x³y²+2+3xy³)

Factor Completely

100

Factor completely: 4x²-14x+12

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

200

Factor completely: 12a²-48a+21

3(2a-7)(2a-1)

300

Factor completely: 80-5d²

5(4-d)(4+d)

400

Factor completely: 2x³+14x²-60x

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

500

Factor completely: x⁴-64

(x²+8)(x²-8)

Sum/Difference of Cubes

100

Factor: m³+8

(m+2)(m²-2m+4)

200

Factor: 64u³+1

(4u+1)(16u²-4u+1)

300

Factor: 3x³-3

3(x-1)(x²+x+1)

400

Factor: 125u³-8

(5u-2)(25u²+10u+4)

500

Factor: 81x³-24

3(3x-2)(9x²+6x+4)