Polynomial Pandemonium

Terms, Terms

100

This is what will change in a term when adding or subtracting like terms.

The coefficient

200

This is what will change in a term when multiply and dividing.

The exponent/power/degree

300

How many terms in this equation?

3x^3 + 2x^2 + 145x - 18

4

400

The is the word used to describe 3x^4 in this equation:

-5x + 3x^4 - 15 + 14x^2

The leading term

500

This is the term used to describe the largest exponent on a variable in a polynomial.

The degree

Add It Up

100

3x-4x-19x+2

-20x+2

200

(20x^2 + 3x) - (11x^2 + 2)

9x^2 + 3x + 2

300

3x^3 - 10x^2 - (-15x^2 + 5x^3)

-2x^3 + 5x^2

400

(15x^4 - 10x^2 -5x) + (14x^4 - 9x^2 - 5x)

29x^4 -19x^2 -10x

500

(-x^2 - 9x -5) - (2x^2 - 2x - 5)

-3x^2 -7x

Ed Sheeran

100

A square has a side length of 3x. What is the perimeter?

12x

200

A circle has a diameter of 10. What is the circumference?

C=2*pi*r

10pi

300

A rectangular prism (ie. 3D rectangle) has dimensions of (4x+2), (2x^2), and (x). What is the volume?

8x^4 + 4x^3

400

A triangle has a base of 3x+2 and a height of 2x-1. What is the area?

A=(1/2)bh

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

500

A cylinder has a height of 4r and a radius of r. What is the surface area?

SA = 2*pi*r^2 + 2*pi*r*h

10*pi*r^2

Times Are a Changin'

100

35x^2(2x-1)

70x^3 - 35x^2

200

-x(-x^2-15x+3)

x^3 + 15x^2 - 3x

300

(3x+6)(10x^2 - 13x - 4)

30x^3 +21x^2 -90x -24

400

(x^2 - x)^2

x^4 - 2x^3 + x^2

500

(-x^2 - 9x -5)(2x^2 - 2x - 5)

-2x^4 − 16x^3 + 13x^2 + 55x + 25

Over/Under

100

(30x^2 - 3)/3

10x^2 - 1

200

(16x^2 + 4x + 18)/(2x)

8x + 2 + 9x^-1

300

(x^3y^3 + 4xy + 8y^2)/(xy)

x^2y^2 + 4 + 8x^-1y

400

3x(4x^3+10x^2+15x)/(5x)

(12/5)x^3 + 6x^2 + 9x

500

((5x^2 - 14x + 10) - (3x^2 - 28x + 3))/(7x^2)

(2/7) + 2x^-1 + x^-2