Polynomials Operations and Terms

Terms

100

A polynomial with 3 terms

For example: 2x²+3x+3

What is a trinomial?

200

A polynomial with two terms

For example: 2x+2

What is a binomial?

300

Another name for "degree of a term." We call this the little number at the top of the term.

Exponent

400

A polynomial with one term.

For example: 2x² 

What is a monomial?

500

The numerical (number) factor of a term.

In other words, what is the number called in a polynomial.

What is the coefficient?

Terms continued...

100

The number in front of the first term of a polynomial

Leading Coefficient

200

The letter or letters within a polynomial.

Variable

300

There are 3 categories within this vocabulary word: monomial, binomial, and trinomial.

Polynomial

400

Let's say you were given 2x+1. What is 1 called?

Constant

500

A polynomial written in descending order.

For example: 2x²+7x+5

Standard Form

Identify the polynomial

100

What type of polynomial is this?

x²

Monomial

200

Identify the polynomial.

x²+2x

Binomial

300

Identify the polynomial.

2

Monomial

400

Identify the polynomial.

x²+2x+3

Trinomial

500

Identify the polynomial.

2x⁴+3x³

Binomial

Identify the term

100

If you are given, 3x⁴+2+6x⁵, what would be the degree?

5

200

If you are given 4x², what would be the variable?

x

300

If you are given 2x, what is 2x called? *Hint: It's not called a monomial.*

A term

400

If you are given 4x³+x+2, what does the 4 represent?

Leading Coefficient

500

If you are given 3x⁵+2, what is the 2 called?

The constant

Solve these polynomials

100

Write the following in standard form:

11x²+x³

x³+11x²

200

Write the following in standard form:

-1+3x+2x²

2x²+3x-1

300

Add the two polynomials:

2x²+5+6x²

8x²+5

400

Please identify a pair of like-terms in the following polynomial:

5x³-2x²+14x+7x²+3x-11

-2x² and 7x²

^OR

14x and 3x

500

Add the 2 polynomials:

(19x²+12x+12)+(7x²+10x+13)  

26x²+22x+25