Factoring Polynomials

Greatest Common Factor

100

15x²+ 45x + 10x²

What is 5x

200

3w² - 30w + 75

What is 3

300

56m³ + 42m

What is 7m

400

4x⁴y - 30x²y²

What is 2x²y

500

5y⁴ - 3y² + 2

What is 1

Multiplying 2 Binomials

100

(2x + 3)(x + 4)

What is 2x² + 11x + 12

200

(5m + 2)(8m - 1)

What is 40m² + 11m - 2

300

(9a - 8)(7a + 4)

What is 63a² - 20a - 32

400

(3x - 5)(2x + 7)

What is 6x²+ 11x - 35

500

(2y + 5)(y - 3)

What is 2y² - y - 15

Factoring with DOTS

100

4x² - 81

What is (2x - 9)(2x + 9)

200

m⁴ - 81n⁴

What is (m² - 9n²)(m² + 9n²)

300

25x² - 4

What is (5x + 2)(5x + 2)

400

16k² - 9h⁴

What is (4k - 3h²)(4k + 3h²)

500

81v⁶ - w⁸

What is (9v³ + w⁴)(9v³ - w⁴)

GCF and DOTS

100

27a³b - 12ab

What is 3ab(3a - 2)(3a + 2)

200

36k² - 16k⁴

What is 4k²(3 - 2k)(3 + 2k)

300

2e⁴ - 18e²

What is 2e²(e - 3)(e + 3)

400

3p² - 27

What is 3(p +3)(p - 3)

500

50r⁸ + 32r²

What is 2r²(5r³ + 4)(5r³ - 4)

Factoring Trinomials

100

x² + 9x + 20

What is (x +4)(x +5)

200

y²-9y + 14

What is (y -7)(y - 2)

300

x² - 15x + 36

What is (x - 12)(x - 3)

400

y² - 4y - 32

What is (y - 8)(y + 4)

500

x² - 22x - 75

What is (x - 25)(x + 3)