Factoring Jeopardy

Factoring By Grouping

100

How do you group this polynomial?

8x³ - 5x² - 16x + 10

(8x³ - 16x) (-5x² + 10)

200

Factor By Grouping:

28n³ + 7n² - 56n -14

7(4n + 1) (n² - 2)

300

Factor By Grouping

150a³ - 90a² -90a + 54

6(5a²-3) (5a-3)

400

Factor By Grouping

128x³ + 48x² + 320x +120

2(2x²+5) (8x+3)

500

Factor By Grouping

50b⁴ - 20b³ + 70b² - 28b

2b(5b²+7) (5b-2)

Operations With Polynomials

100

What is a Polynomial?

An Expression With One or More Terms

200

What is Standard Form?

Polynomials in order from greatest exponent to least

300

What is a degree?

The Highest Exponent in a Polynomial

400

What are Like Terms?

Terms with the same variable and exponent

500

Add or subtract the polynomial

(8p + 5p² - 8p⁴) - (p⁴ - 2p² + 3)

-9p⁴ + 7p² + 8p -3

Factoring a Trinomial

100

What is a trinomial?

An expression with three terms

200

Factor Completely

x² -13x + 30

(y-10) (y-3)

300

Factor Completely

4x² + 36x - 40

4(x+10)(x-1)

400

Factor Completely

h² - 4h - 96

(h-12) (h+8)

500

Factor Completely

2x³ - 6x² + 8x

2x(x² -3x +4)

Factoring By AC Method

100

How do you use the AC method?

You find the two numbers that add up to the b term and multiply to the c term.

200

Factor using the AC method

x² - 3x + 30

prime

300

Factor:

4x² + 36x - 40

4(x+10)(x-1)

400

Factor:

h² - 4h - 96

(h-12)(h+8)

500

Factor:

4x² + 16x + 15

(2x + 5)(2x+3)