6th Grade Math Textbook, Fundamentals

3 monomials

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14-1

Remember:

A coefficient is the numerical factor

of a term that contains a variable.

Remember:If a variable is

written without an exponent, its

exponent is considered to be 1.

Polynomial Degrees of its Monomials Degree of Polynomial

y 10 1, 0 1

3 z^4  2 z^3 z 99 4, 3, 1, 0 4

a^2 bab 3, 2 3

m^5 n^2 m^4  2 7, 4, 0 7

polynomial

Polynomials

Objective To classify a polynomial as a monomial, binomial, or trinomial• To identify

the degree of a polynomial• To write a polynomial in standard form• To evaluate polynomials

A pizza shop adds a $3 delivery charge to each
order. Each pizza costs $10 and each topping
costs $1.50. What polynomial can represent the
total bill for each delivery?

To find the polynomial, write the monomialthat
represents each cost.

A is an algebraic expression that is

the sum or difference of terms, called.

Let pthe number of pizzas.

Let qthe number of toppings.

monomials

polynomial

So the polynomial that represents the total bill for each delivery

is $10p$1.50q$3.

If a polynomial has two terms, then it is called a. If it

has three terms, then it is called a. The chart gives some

examples of types of polynomials.

The is the sum of the exponents of the variables in

the term. A monomial that is a nonzero constant has a degree of 0.

8 xhas degree 1. x^3 yhas degree 3 1 4.

341 p^4 has degree 4. a^2 b^2 has degree 2 2 4.

The is the same as that of the

term (monomial) with the greatest degree.

degree of a polynomial

degree of a monomial

trinomial

binomial

$10p  $1.50q  $3

plus plus

delivery

charge

cost of q

toppings

cost of p

pizzas

Monomial a, 2x, , 856k p^4 , x^3 yz^2

4

Binomial ab, c^5 c^2 , x1, a^2 bab

Trinomial abc, m^5 n^2 m^4  2