FACTORING POLYNOMIALS

Factoring trinomials1

100

Factor completely: x²+8x+12

(x+6)(x+2)

200

Factor completely: m²-11m+18

(m-9)(m-2)

300

Factor completely: x²+5x-24

(x+8)(x-3)

400

Factor completely: y²-6y-7

(y-7)(y+1)

500

Factor completely: x²-x-56

(x-8)(x+7)

Factoring Trinomials2

100

Factor completely: 2x²+7x+3

(2x+1)(x+3)

200

Factor completely: 

5n²-24n - 5

(5n+1)(n-5)

300

Factor completely:    

3x²-10x+7

(3x-7)(x-1)

400

Factor completely:   

7x²-36x+5

(7x-1)(x-5)

500

Factor completely:    

2x²-12x+10

2(x-1)(x-5)

Factoring by Special Products

100

Factor completely: 25x²-81

(5x+9)(5x-9)

200

Factor completely: 

144m²n⁶- 49p⁸

(12mn³ + 7p⁴)(12mn³ - 7p⁴)

300

Factor completely:  

16x⁴ - 128xy³   

16x(x - 2y)(x² + 2xy + 4y²)

400

Factor completely: 

25x² + 30x + 9

(5x + 3)² or (5x + 3)(5x + 3)

500

Factor completely:   

81v⁴ - 900v²

9v²(3v + 10)(3v - 10)

Factor by GCF

100

Factor completely: 14n²+10n

2n(7n+5)

200

Factor completely: 18x³-6x

6x(3x²-1)

300

Factor completely: 20m²+5m-15

5(4m-3)(m+1)

400

Factor completely: mx²-18mx+81m

m(x-9)²

500

Factor completely:   6y² - 26y + 8

2(y-4)(3y-1)

Factor by Grouping

100

Factor completely: x²+2x+4x+8

(x+2)(x+4)

200

Factor completely: xy-5x+9y-45

(x+9)(y-5)

300

Factor completely: 3x³-2x²-6x+4

(x²-2)(3x-2)

400

Factor completely: cx-dx+dy-cy

(c-d)(x-y)

500

Factor completely: xⁿyⁿ-xⁿ+2yⁿ-2

(xⁿ+2)(yⁿ-1)