FACTORING POLYNOMIALS

Factoring x^2+bx+c

100

Factor into two binomials: x²+8x+12

(x+6)(x+2)

200

Factor into two binomials: m²-11m+18

(m-9)(m-2)

300

Factor into two binomials: x²+5x-24

(x+8)(x-3)

400

Factor into two binomials: y²-6y-7

(y-7)(y+1)

500

Factor into two binomials: x²-x-56

(x-8)(x+7)

Factoring ax^2+bx+c

100

Factor into two binomials: 2x²+7x+3

(2x+1)(x+3)

200

Factor into two binomials: 5n²+26n+5

(5n+1)(n+5)

300

Factor into two binomials: 3x²-10x+7

(3x-7)(x-1)

400

Factor into two binomials: 7x²-36x+5

(7x-1)(x-5)

500

Factor into two binomials: 2x²-12x+10

(2x-2)(x-5)

Factor by Grouping

100

5mn + 25m + 3n³ + 15n²

factors: (5m + 3n²)(n + 5)

200

15xw + 18xk + 25yw + 30yk

factors: (3x + 5y)(5w + 6k)

300

7xy - 3n - x + 21ny

factors: (x + 3n)(7y - 1)

400

56n³ + 64n² + 70n + 80

factors: 2(4n² + 5)(7n + 8)

500

32u²v - 12u³m + 48u⁴ - 8umv

factors: 4u(4u - m)(2v + 23u²)

Factor using GCF

100

Factor by GCF: 14n²+10n

2n(7n+5)

200

Factor by GCF: 18x³-6x

6x(3x²-1)

300

Factor by GCF: 8-4a²

4(2-a²)

400

Factor by GCF: 4x⁴+16x³-8x²

4x²(x²+4x-2)

500

Factor by GCF: 10a³b⁴-6a²b⁶

2a²b⁴(5a³-3b²)

Miscellaneous Factoring

100

Solve by factoring: (x + 3)(x - 4) = 0

x = -3, 4

200

2x² + 8x = 0

x = 0, -4

300

x² - 7 x - 18 = 0

x=9, -2

400

x² + 2x = 15

x = 3, -5

500

18b² - 19b - 8 = 3b² - 5b 

b = 4/3, -2/5