FACTORING POLYNOMIALS

x^2+bx+c

100

x²+8x+12

(x+6)(x+2)

200

m²-11m+18

(m-9)(m-2)

300

x²+5x-24

(x+8)(x-3)

400

y²-6y-7

(y-7)(y+1)

500

x²-x-56

(x-8)(x+7)

ax^2 +bx+c

100

2x²+7x+3

(2x+1)(x+3)

200

5n²+26n+5

(5n+1)(n+5)

300

3x²-10x+7

(3x-7)(x-1)

400

7x²-36x+5

(7x-1)(x-5)

500

2x²-12x+10

(2x-10)(x-1)

Factor by Grouping

100

Factor by grouping: 10a³+4a²+5a+2

(2a+1)(5a+2)

200

Factor by Grouping: 6w³+4w²+3w+2

(2w²+1)(3w+2)

300

Factor by Grouping: 10x²+2xy-15x-3y

(2x-3)(5x+y)

400

Factor by Grouping: 12a²-15ab-8a+10b

(3a-2)(4a-5b)

500

5x²y - x² + 5y - 1

(x²-1)(5y-1)

Factor by 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)

Factor by difference of squares

100

x²-36

(x-6)(x+6)

200

x²+81

PRIME

300

4x²-p²

(2x-p)(2x+p)

400

100x²-49y²

(10x - 7y)(10x+7y)

500

3k⁴-48k²

3k²(k-4)(k+4)