Factoring

GCF

1

12x + 8

4(3x+2)

1

18x² + 24x

6x(3x + 4)

1

20x³y + 30x²y²

10x²y(2x + 3y)

1

45a²b + 60ab²

15ab(3a + 4b)

1

14x³y² − 21x²y³

7x²y²(2x − 3y)

Trinomials

1

x² + 5x + 6

(x + 2)(x + 3)

1

x² − x − 12

(x − 4)(x + 3)

1

2x² + 7x + 3

(2x + 1)(x + 3)

1

3x² + 11x + 6

(3x + 2)(x + 3)

1

6x² − 13x + 6

(2x − 3)(3x − 2)

Grouping

1

x³ + 3x² + 2x + 6

(x² + 2)(x + 3)

1

2x³ − 4x² + x − 2

(2x² + 1)(x − 2)

1

ax + ay + bx + by

(a + b)(x + y)

1

x³ − x² + 4x − 4

(x² + 4)(x − 1)

1

3x³ + 6x² + 2x + 4

(3x² + 2)(x + 2)

Mixed

1

6x² + 15x

3x(2x + 5)

1

x³ + 5x² + 2x + 10

(x² + 2)(x + 5)

1

3x²−5x−2

(3x+1)(x−2)

1

4x³ − 12x

4x(x² − 3)

1

x³ + 4x² − x − 4

(x² − 1)(x + 4) = (x − 1)(x + 1)(x + 4)

More Mixed

1

x³−x²+4x−4

(x²+4)(x−1)

1

x²+7x+10

(x+5)(x+2)

1

2x²+7x+3

(2x+1)(x+3)

1

x²+3x³+2+6x

(x²+2)(3x+1)

1

2x+4+x²+2x

(x+2)²