Perform Operations on Polynomials

Definitions

100

What is a polynomial?

An expression with variables, coefficients, and exponents. 

200

What is a monomial?

A polynomial with one term.

300

What does like terms mean?

Terms with the same variables and the same exponents. 

400

What is the degree of a polynomial?

The highest exponent of the variable.

500

What is a trinomial?

A polynomial with three terms.

Subtracting

100

(5x−2)−(x−1)

4x-1

200

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

2x^2-x

300

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

2x+3

400

(5x^2-3x+1)-(2x^2-x-4)

3x^2+6x-12

500

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

3x^2+6x-12

Adding

100

(2x+3)+(x+5)

3x+8

200

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

6x^2+4x

300

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

8x+5

400

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

4x^2+x+5

500

(2x^2+3x+6)+(x^2-4x-1)

3x^2-x+5

Multiplying

100

2(x+3)

2x+6

200

(x+2)(x+1)

x^2+3x+2

300

(x+4)(x+3)

x^2+7x+12

400

(2x+1)(x+5)

2x^2+11x+5

500

(x-3)(x+6)

x^2+3x-18

Dividing

100

6x+12/3

2x+4

200

8x^2+4x/4

2x^2+x

300

9x+3/3

3x+1

400

10x^2+5x/5

2x^2+x

500

12x^2-6x+9/3

4x^2-2x+3