Factoring

GCF/Grouping

100

2x³ + 4x²

What is 2x²(x + 2)

200

3xy+24x² - 4ny - 32nx

What is (3x - 4n)(y + 8x)

300

-16a² - 8a

What is -8a(2a + 1)

400

36su - 12sv - 60ru + 20rv

What is 4(3s - 5r)(3u - v)

500

-14r³s + 28r²s - 49r²s²

What is -7r²s(2r - 4 + 7s)

Trinomials

100

x² + 11x + 24

(x + 3)(x + 8)

200

x² - 2x - 24

(x - 6)(x + 4)

300

5k² + 15k - 200

5(k + 8)(k - 5)

400

Double Jeopardy!!!! k³ + k² - 12k

k(k + 4)(k - 3)

500

2n³ + 22n² + 36n

What is 2n(n + 9)(n + 2)

Trinomials

100

x² + 9x - 36

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

200

x² - 3x - 4

What is (x - 4)(x + 1)

300

3m² - 36m + 60

What is 3(m - 2)(m - 10)

400

x² - 12xy +27y²

What is (x - 3y)(x - 9y)

500

3m⁴ - 39m³n + 126n²m²

What is 3m²(m - 6n)(m - 7n)

Special Case

100

9x² - 4

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

200

n² + 4n + 4

What is (n + 2)²

300

Double Jeopardy!!! 32r² - 16r + 2

What is 2(4r - 1)²

400

8x² - 18y²

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

500

50x² + 40xy + 8y²

What is 2(5x + 2y)²

Special Case

100

9x² - 25y²

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

200

Double Jeopardy!!!!!! x³ + 27

What is (x + 3)(x² - 3x + 9)

300

x⁴ - 6x² - 27

What is (x - 3)(x + 3)(x² + 3)

400

2x⁶ - 16y⁶

What is 2(x² - 2y²)(x⁴ + 2x²y² + 4y⁴)

500

40x⁴ + 5x

What is 5x(2x + 1)(4x² - 2x + 1)