Factoring and Polynomial Operations Review Jeopardy

Greatest Common Factor

100

The result of factoring: 2x² + 14x

2x(x + 7)

200

The result of factoring:
8a - 16

8(a - 2)

300

The GCF of:
25z² - 125xz

25z

400

The result of factoring:
9x³ - 45xy + 9y

9(x³ - 5xy + y)

500

The result of factoring:
-15x²y + 5xy

5xy(-3x + 1)

Trinomial

100

The result of factoring:
x² + 8x + 12 

(x + 2)(x + 6)

200

The result of factoring:
x² - 6x + 8

(x - 4)(x - 2)

300

The result of factoring:
x² - 10x - 24 

(x - 12)(x + 2)

400

The result of factoring: 

2x² +9x+ 10

(2x + 5)(x + 2)

500

The result of factoring:

10x² +x - 3

(2x - 1)(5x +3)

Multiplying Polynomials

100

Simplify the following expression: 

-2(x - 5)

-2x + 10

200

Simplify the following expressions:

(3x+1)(x+4)

3x^2 +13x+4

300

Perform the indicated operations of polynomials.

(4x + 2) (5x - 3)

20x^2 -2x - 6

400

Simplify the following expressions:

(x+1)(x²+2x+1)

x³+3x²+3x+1

500

Simplify the following expression:

(2x^2 + 3x+1)(x^2 -4x+2)

2x^4 -5x^3 -7x^2+2x +2

Factoring Miscellaneous

100

The result of factoring:
x² - 25

(x - 5)(x + 5)

200

The result of factoring:

3x² - 121

3(x - 11)(x + 11)

300

The result of factoring:

2x² +20x+ 50

2(x + 5)(x + 5)

400

The result of factoring:

3x² - 15x + 12

3(x - 4)(x - 1)

500

The result of factoring:

3m³ + 30m² + 63m

3m(m + 7)(m + 3)

Adding/Subtracting Polynomials

100

Simplify the following expression: 

(3x+4) +(2x+9)

5x+13

200

Simplify the following expression:

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

x^2 -10x

300

Perform the indicated operations of polynomials.

(5x² - 9x + 4) + (-2x² + 7x + 1)

3x² - 2x + 5

400

Perform the indicated operations of polynomials.

(x^2 - 5x + 4) - (3x^2 + 3x - 2)

-2x^2 -8x +6

500

Simplify the following expression: 

(14x5 - 6x3 + 3x - 1) - (8x4 + 3x3 - 7x2 + 9)

14x⁵ - 8x⁴ - 9x³ + 7x² + 3x - 10