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: 16b²+60b-100

4(b+5)(4b-5)

Factor using the GCF

100

Factor 3x²-12x

3x(x-4)

200

Factor: 6n³-3n⁵

3n³(2-n²)

300

Factor: 16p⁴+4p³

4p³(4p+1)

400

Factor: 14a+21a²+21a³

7a(2+3a+3a²)

500

9x⁶-63x³-90x²

9x²(x⁴-7x-10)

Factor DOTS

100

Factor : x²-4

(a+2)(a-2)

200

Factor: m² - 81

(m+9)(m-9)

300

Factor completely: y⁴-81

(y²+9)(y+3)(y-3)

400

Factor completely: x⁴-1

(x²+1)(x+1)(x-1)

500

Factor completely: 80-5d²

5(4+d)(4-d)

Factoring Cubes

100

x³+125

(x+5)(x²-5x+25)

200

x³-64

(x-4)(x²+4x+16)

300

8x³+27

(2x+3)(4x²-6x+9)

400

x³-216y³

(x-6)(x²+6x+36)

500

343m³+64n³

(7m+4n)(49m²-28mn+16n²)