POLYNOMIAL REVIEW JEOPARDY

Degrees of Polynomials

100

4y + 7

What is a first degree polynomial

200

3x³ - 2x 

What is a third degree polynomial

300

Convert to Standard form: 

5x + xy + 6 -2x²y

-2x²y + xy + 5x + 6 

400

Convert to standard form 

8x - 10y² + 4xy³ + 9 

4xy³ - 10y² + 8x + 9

500

Convert the following to standard form: 

6x²y³ - 8xy - 5x³y³  

-5x³y³ + 6x²y³ - 8xy 

Adding Polynomials

100

(3x+5) + (4x+1)

7x + 6

200

(6x-7) + (4x+5)

10x - 2

300

4(2x - 5) + 2(x + 8)

10x - 4 

400

(5x - 3) + (4x + 7) + (2x - 6)

11x-2

500

(x³ + 4x - 10) + x(x² - 9x + 6) 

2x³ - 9x² + 10x - 10 

Subtracting Polynomials

100

(x - 9) - (3x + 8) 

-2x - 17

200

(2x² + 7) - (5x - 8) 

2x² - 5x + 15

300

(-4x² + 10x - 9) - (-2x - 6) 

-4x² + 12x - 3 

400

(x³ - 2x² - 4x) - (4x² - 6x) 

x³ - 6x² + 2x

500

(-10x³ - 12x + 18) - (5x² - 10) 

-10x³ - 5x² - 12x + 28

Classifying Polynomials

100

x² + 5x + 6

trinomial

200

x² - 5x

binomial

300

DAILY DOUBLE

Convert to Standard Form and classify the following polynomial: 

-12x + 15x³ - 2x² 

15x³ - 2x² - 12x

trinomial

400

-7x - 16 + 7x

monomial

500

Convert to standard form and identify what type of polynomial this is: 

x² - 10x - 4 + 3x² + 12x + 24

trinomial

Multiplying Polynomials

100

(x + 2)(x - 3) 

x² - 1x - 6

200

(2x + 3)(x - 12)

2x² - 21x - 36

300

(4x - 9)(-3x + 5)

-12x² + 47x - 45

400

DAILY DOUBLE!!!! 

(x + 8)(3x² - 6x + 2)

3x³ + 18x² - 46x + 16

500

(x² - 4x + 2)(x - 5)

x³ - 9x² + 22x - 10

Properties

100

What is the following property? 

8 + 7 = 7 + 8

Commutative Property

200

What property is the following: 

x (zy) = (xy) z

Associative Property 

300

Use the distributive property to simplify the following: 

4x(x - 5) 

4x² -20x

400

Which property/properties are used here? 

2(x + 4) = 8 + 2x 

Distributive and Commutative 

500

Use the distributive property to simplify the following: 

x(2x - 4) + 3(-x + 5) 

2x² - 7x + 15