# Polynomials

Need To Know

Recall like terms

Some new vocabulary

Like Terms and polynomials

Evaluate polynomials

**Like Terms
**RECALL:

Definition – a term is a part of a mathematical expression

made of numbers and variables often combined with

parentheses, multiplication or division.

Definition – Like terms _________________________________

________________________________________________________

**New Vocabulary
**Definition– A polynomial is a finite sum of terms.

Examples:

Monomials | Binomials | Trinomials | No Special Name |

**New Vocabulary
**Definition– The degree of a _____ is the number of

_________________________. (If there is only one

variable, then the degree is the exponent.)

Definition– The degree of a __________ is the

degree ___________________, and the leading

term is the term with the highest degree.

Definition– The ____________________ is the

numerical factor of the term.

**Practice Vocabulary
**Answer each for the given polynomial.

The terms

The coefficients

The degree of the terms

The leading term

The degree of the polynomial

**Combining Like Terms
**Recall

3x+ 6x

Combine like terms:

1. 7x

^{2}+ 3x + 5x

^{2}

2. 9b

^{5}+ 3b

^{2}–2b

^{5}–3b

^{2}

3. 8x

^{5}– x

^{4}+ 2x

^{5}+ 5x

^{4}– 4x

^{4}– x

^{6}

**Evaluating Polynomials
**Find the value of 2x

^{2}– x + 3 when x = -3

**Application with Polynomials
**Gigabyte Electronics estimates that the total

cost of producing x monitors is given by:

4000 + 0.6x

^{2}

What is the total cost of producing 200 monitors?