REVIEW ON FACTORING

Factoring trinomials (easy)

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: 2y²-14y-36

2(y-9)(y-2)

Factoring trinomials (harder)

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 15n²-65n+50

5(3n-10)(n-1)

500

Factor: 35x²-90x-45

5(7x+3)(x-3)

Factor using the GCF

100

Factor 3x²-12x

3x(x-4)

200

Factor: 6x⁴-8x⁵

2x⁴(3-4x)

300

Factor: 16x²y⁸+2y²

2y²(8x²+y⁶+1)

400

Factor: 4ab²-12a²b

4ab(b-3a)

500

Factor: -27h⁵k³j-18h²k²

-9h²k²(3h³jk+2)

Factor by Grouping

100

Factor: 16m³+8m²+2m+1

(8m+1)(2m+1)

200

Factor: 4x³+5x²+24x+30

(x²+6)(4x+5)

300

Factor: 70v³ + 14v² +20v + 4

2(7v²+2)(5v+1)

400

Factor: 60n³-75n²-72n+90

3(5n-6)(4n-5)

500

Factor: 5n³+8n² - 5n - 8

(n²-1)(5n+8)

Bonus Points: (n-1)(n+1)(5n+8)

Difference of squares

100

Factor: x²-16

(x+4)(x-4)

200

Factor: 9-x^²

(3+x)(3-x)

300

25y²-4k²

(5y+2k)(5y-2k)

400

8x²-18y²

2(2x-3y)(2x+3y)

500

100x²-25

25(2x-1)(2x+1)