Polynomial Operations

Vocabulary

100

What is the degree of the following polynomial?

3x⁴-2x+1

4

200

What is the leading coefficient of the following polynomial?

-x³+x²-5x+6

-1

300

TRIVIA: Which state was the 50^th to join the United States?

Hawaii

400

What is the constant of the following polynomial?

5 + x² - 2x³ +9x

5

500

Identify the leading coefficient, degree, AND constant of the following polynomial. 

4x - x⁵ +10x² - 2

Leading Coefficient: -1

Degree: 5

Constant: -2

Addition/Subtraction

100

(x²-4x+9)+(3x²+6x+9)

4x² +2x +18

200

(x²+3x+9)-(8x²+5x-10)

-7x²-2x+19

300

(5x-3x²+2)+(6x²+8x-1)

3x²+13x+1

400

TRIVIA: How many Super Bowls have the Pittsburgh Steelers won?

6

500

(3x²+3x-1)-(4x²+3x-2)

-x²+1

Multiplication

100

5(2x² -4x +10)

10x² -20x +50

200

TRIVIA: How many planets are in the Solar System?

8

300

x(x² +3x -2)

x³ + 3x² -2x

400

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

8x² -2x -3

500

(3x-1)²

9x² -6x +1