Exponent Rules and Polynomials

Polynomial Vocab

100

A many termed expression with variables.

Polynomial

200

The term with no variable, usually at the end of a polynomial in standard form.

Constant 

300

A polynomial with 3 terms.

Trinomial

400

A polynomial with highest degree of 1.

Linear

500

A polynomial written in order of decreasing exponents and alphabetical variables is called this. 

Standard Form

Terms of a Polynomial

100

x*x

x^2

200

This is the constant term of the polynomial.

x^2+4x-10

-10

300

This is the leading coefficient of the polynomial. 

27x-14x^2+9

-14

400

Write the polynomial in standard form.

5x+3x^2-17+4x^4

4x^4+3x^2+5x-17

500

Write the polynomial in standard form. 

2x^2y+3xy^3-2x^3y^2

-2x^3y^2+2x^2y+3xy^3

Classifying Polynomials

100

Determine the degree of the following polynomial:

-3x^2+5x-1

Degree: 2

200

Is the following polynomial a monomial, binomial, or trinomial?

2xy-3x^2y

Binomial

300

Classify the polynomial by its degree and the number of terms:

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

4th degree Trinomial

400

Classify the polynomial by its degree and the number of terms:

3x^2-x

Quadratic binomial

500

Classify the polynomial by its degree and the number of terms:

-2xy^2+4xy-3y^2+1

Cubic Polynomial

Adding & Subtracting Polynomials

100

Add the following polynomials. Write your final answer in standard form.

(4x^2+4)+(19x^2-7)

23x^2-3

200

Add the following polynomials. Write your final answer in standard form.

(13x^2y-2x+1)+(9x^2y-7)

22x^2y-2x-6

300

Add the following polynomials. Write your final answer in standard form.

(-x^3+8x^2-5)+(10x^3-x^2+1)

9x^3+7x^2-4

400

Subtract the following polynomials. Write your final answer in standard form.

(3x+2)-(11x-6)

-8x+8

500

Subtract the following polynomials. Write your final answer in standard form.

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

-2x+6

Multiplying Polynomials

100

Multiply the polynomials. Write your final answer in standard form.

-3x(2x^2+4)

-6x^3-12x

200

Multiply the polynomials. Write your final answer in standard form.

(9x+1)(6x+2)

54x^2+24x+2

300

Multiply the polynomials. Write your final answer in standard form.

(4x-1)^2

16x^2-8x+1

400

Multiply the polynomials. Write your final answer in standard form.

(7x+4)(7x-4)

49x^2-16

500

Multiply the polynomials. Write your final answer in standard form.

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

6x^3-17x^2+17x-30