FACTORING POLYNOMIALS (basic review)

Factoring trinomials A

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 trinomials B

100

Factor into two binomials: b²+8b+7

(b+1)(b+7)

200

Factor into two binomials: n²+7n-18

(n+9)(n-2)

300

Factor into two binomials: x²-14x+24

(x-12)(x-2)

400

Factor into two binomials: x² + x - 56

(x+8)(x-7)

500

Factor into two binomials: x²-5x+6

(x-2)(x-3)

Factor Difference of Squares

100

Factor 9x²-1

(3x-1)(3x+1)

200

Factor 4n²-49

(2n+7)(2n-7)

300

Factor 49x²-25y²

(7x-5y)(7x+5y)

400

Factor x⁴ - 10000

(x² + 100)(x² - 100)

(x² + 100)(x - 10)(x + 10)

500

Factor 27x⁴ - 343x²

7x² (x² - 49)

7x² (x - 7)(x + 7)

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: 10a³b⁴ - 6a²b⁶

2a²b⁴(5a³-3b²)

500

Factor by GCF: 4x⁴ - 12x³ + 8x²

4x²(x²-3x+2)

4x²(x-1)(x-2)