Battle of the factors

Greatest Common Factor

100

12³+18x³

6x²(2x+3)

200

20y²-15y²

5y³(4y-3)

300

18a²b-27ab²+9ab

9ab(2a-3b+1)

400

16m³n²+24m²n³-8m²n

8m²n(2mn+3n²-m²⁾

500

14x⁵y³-21x⁴y²+7x³y

7x³y(2x²y²-3xy+1)

Factoring Trinomialsx2+bx+c

100

x²+ 7x + 10

(x + 5)(x + 2)

200

x² + 9x + 14

(x + 7)(x + 2)

300

x² - 8x + 12

(x - 6)(x - 2)

400

x² + 11x + 28

(x + 7)(x + 4)

500

x² - 15x + 54

(x - 9)(x - 6)

Factoring Trinomialsax2+bx+c

100

3x² + 14x + 8

(3x + 2)(x + 4)

200

2x² - 9x - 35

(2x + 5)(x - 7)

300

2x²+7x+3

(3x+1)(x-4)

400

8x² - 22x + 15

(4x - 5)(2x - 3)

500

12x² + 11x - 15

(4x - 3)(3x + 5)

Difference Squares

100

x²-9

(x+3)(x-3)

200

y²-25

(x+5)(x-5)

300

4x²-49

(2x+7)(2x-7)

400

9a²-16b²

(3a+4b)(3a-4b)

500

81x²-121y²

(9x²+11y)(9x²-11y)

Factoring by Grouping

100

x³ + x² + 2x + 2

(x² + 2)(x + 1)

200

ab + 2a + 3b + 6

(a + 3)(b + 2)

300

x³ - 3x² + 2x - 6

(x² + 2)(x - 3)

400

2xy + 6x + y + 3

(2x + 1)(y + 3)

500

x³+4x²+3x+12

(x + 4)(x² + 3)