Factoring Jeopardy 101

SP: Adds Up

100

Factor x² + 4x + 3.

(x + 3)(x + 1)

200

Factor x² + 12x + 20.

(x + 2)(x + 10)

300

Factor x² - 14x + 33.

(x - 11)(x - 3)

400

Factor x² - 8x + 12

(x - 2)(x - 6)

500

Factor x² + 10xy + 25y².

(x + 5y)(x + 5y)

SP: Subtracts Away

100

Factor x² + 2x - 15.

(x + 5)(x - 3)

200

Factor x² - 4x - 77.

(x - 11) ( x + 7)

300

Factor x² + x - 42.

(x + 7)(x - 6)

400

Factor x² + 2x - 143.

(x + 13)(x - 11)

500

Factor x² - 3xy - 70y².

(x - 10)(x + 7)

DoTS

100

Factor x² - 16.

(x + 4)(x - 4)

200

x² - 81.

(x - 9)(x + 9)

300

x⁴- 100

(x²-10)(x² + 10)

400

9x² - 16

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

500

121x² - 144

(11x + 12)(11x - 12)

Gotta Have Zero!

100

What's the factorable form of x² - 3x = 10?

x² - 3x - 10 = 0

200

Factorable form of x² + 3x = -2x?

x² + 5x = 0

300

Factorable x² - 3 = 10 - 4x.

x² + 4x - 13.

400

Factorable 7x² - 5 = 4x² - 29.

3x² + 24 = 0

500

Factorable x = x.

This is an identity. Always true!

Solutions

100

(x + 1)(x - 4) = 0

-1 and +4

200

(x - 9)(x - 3) = 0

+9 and +3

300

(2x - 4)(x + 7)

+2 and -7

400

(2x - 7)(x + 1)

3.5 and -1

500

(3x - 5)(4x - 1)

5/3 and 1/4