Simplifying Polynomials

Add Monomials

100

3x + 4x

7x

200

17x + 25x

42x

300

-10x² + 5x²

-5x²

400

-12x² + 10x² + 3x²

x²

500

3x + 4x² + 7x + 5x²

9x² + 10x

Subtract Monomials

100

7x - 2x

5x

200

34x - 13x 

21x

300

-16x² - 5x²

-21x²

400

-5x - 7x - 8x

-20x

500

-3x - 6x² - 18x² -5x

-24x² - 8x

Degree

100

What is the definition of degree? 

The highest power or exponent

200

What is the degree? 

3x² + 7x - 4

2

300

What is the degree? 

3x² + 7x - 5x³ + 4

3

400

What is the degree? 

-7x³ + 2x⁴ - 4x⁵ + 8x⁴ + 2x - 10

5

500

What is the degree?

9x² + 12x⁴ - 15x + 3 - 7x²

4

Leading Coefficient

100

What is the definition of a leading coefficient? 

The number written in front of the variable with the largest exponent.

200

What is the leading coefficient?

5x² - 9x + 14

5

300

What is the leading coefficient?

3x² + 7x - 6 + 2x³

2

400

What is the leading coefficient? 

-7x³ + 2x⁴ - 4x⁵ + 8x⁴ + 2x - 10

-4

500

What is the leading coefficient?

9x² + 12x⁴ - 15x + 3 - 7x²

12

Constant

100

What is the definition of a constant?

A number without a variable.

200

What is the constant?

5x² - 9x + 14

14

300

What is the constant?

3x² + 7x - 6 + 2x³ - 10

-16

400

What is the constant? 

-13 + 3x² + 7x - 5x³ + 4

-9

500

What is the constant?

9x² - 3 + 12x⁴ - 15x + 3 - 7x² 

0