FACTORING POLYNOMIALS

Factoring trinomials

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- harder

100

What could be the middle term given the trinomial and the binomials factors: x² + ___ + 12 = (x + 4) (x + 3)

7x

200

What could be the middle term given the trinomial and the binomials factors: x² - ___ - 16 = (x + 2) (x - 8)

- 6x

300

What could be the middle term given the trinomial and the binomials factors: x² + ___ - 15 = (x + 5) (x - 3)

2x

400

What could be the middle term given the trinomial and the binomials factors: x² + ___ - 21 = (x + 7) (x - 3)

4x

500

What could be the middle term given the trinomial and the binomials factors: x² + ___ + 32 = (x + 8) (x + 4)

12x

Finding the GCMF

100

Find the GCF: 3x², 12x

3x

200

Find the GCF: 4x³, 10x²

2x²

300

Find the GCF: 2x⁵, 9x⁴

x⁴

400

Find the GCF: 18x³, 32x²+6x

2x

500

Find the GCF: 12m⁴n³, 6m³n², 24m²n⁴

6m²n²

Factor by GCMF

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)

FACTORING DIFFERENCE OF TWO SQUARES

100

Find the factors of: x² - 25

(x + 5) (x - 5)

200

Find the factors of: x² -1

(x + 1) (x - 1)

300

Find the factors of: x² - 36

(x + 6) (x - 6)

400

Find the factors of: x² - 81

(x + 9) (x - 9)

500

Find the factors of: x² - 49

(x + 7) (x - 7)