Factor Polynomials Jeopardy

Factor by Grouping

100

Factor 15x² + 5x + 6x + 2

What is (5x + 2)(3x + 1).

200

Factor 25z³ - 125z² + 4z - 20

What is (25z² + 4) (z - 5)

300

Factor 3x³+4x²+15x+20

What is (x²+5)(3x+4)

400

Factor 9x²y - 45xy - 11x + 55

What is (9xy - 11)(x - 5).

500

Factor  8x⁴ + 24x³ - 27x - 81

What is (x + 3)(2x - 3)(4x² - 6x + 9)

Degree 2 Polynomials

100

Factor x² + 8x + 12 

What is (x + 2)(x + 6)

200

Factor x² - 6x + 8

What is (x - 4)(x - 2).

300

Factor 3x² - 19x - 14 

What is (3x + 2)(x - 7)

400

Factor 9x² + 9x - 10 

What is (3x -2)(3x + 5)

500

Factor 10x² - 27x + 18 

What is (5x - 6)(2x - 3)

Higher Degree Polynomials

100

Factor x⁴ + 4x² - 21

What is (x² + 7)(x² - 3)

200

Factor 2x⁴ - 19x² + 45

What is (2x² - 9)(x² - 5)

300

Factor 15x⁶ - 4x³ - 4

What is (3x³ - 2)(5x³ + 2)

400

Factor 20x⁸ - 19x⁴ + 3

What is (4x⁴ - 3)(5x⁴ - 1)

500

Factor 10x¹² - 17x⁶ - 11

What is (5x⁶ - 11)(2x⁶ + 1)

Sum and Difference of Cubes

100

Factor: x³ + 27

(x + 3)(x² - 3x + 9)

200

Factor: x³ - 64

(x - 4)(x² + 4x + 16)

300

Factor: 8x³ + 1

(2x + 1)(4x² - 2x + 1)

400

Factor: 27x³ - 125

(3x - 5)(9x² + 15x + 25)

500

Factor: 108x³  + 1372

4(3x + 7)(9x² - 21x + 49)