Cc-26 Polynomial Functions Examples And Worksheet - Common Core (Page 2 of 8) in pdf

Cc-26 Polynomial Functions Examples And Worksheet - Common Core Page 2

Key Concept Standard Form of a Polynomial Function

The standard form of a polynomial function arranges the terms by degree in

descending numerical order.

A polynomial function P (x) in standard form is

+ g + a

n-1

P (x) = a

+ a

x + a

n-1

, c , a

where n is a nonnegative integer and a

are real numbers.

P(x) =

Cubic term

Quadratic term

Linear term

Constant term

You can classify a polynomial by its degree or by its number of terms. Polynomials of

degrees zero through five have specific names, as shown in this table.

Name Using

Polynomial

Number of

Name Using

Degree

Example

Terms

Number of Terms

constant

monomial

linear

binomial

quadratic

monomial

cubic

trinomial

quartic

binomial

quintic

polynomial of 4 terms

Problem 1

Classifying Polynomials

Write each polynomial in standard form. What is the classification of each

polynomial by degree? by number of terms?

10x

How do you write

a polynomial in

+ 3x + 5

+ 4x

+ 4x - 12

standard form?

The polynomial has degree 2 and

The polynomial has degree 4 and

Combine like terms if

possible. Then, write the

3 terms. It is a quadratic trinomial.

4 terms. It is a quartic polynomial

terms with their degrees

of 4 terms.

in descending order.

Got It?

1. Write each polynomial in standard form. What is the classification of each

by degree? by number of terms?

- x + 5x

b. 3 - 4x

+ 2x

+ 10

a. 3x

119

Lesson H-8 Polynomial Functions

119

CC-26 Polynomial Functions

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Cc-26 Polynomial Functions Examples And Worksheet - Common Core Page 2

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