Try the fastest way to create flashcards
Question

# For the polynomials in the following exercise, state the degree and the number of terms, and describe the long-run behavior.$y=1-2 x^4+x^3$

Solution

Verified
Step 1
1 of 4

Recall: The standard form of the general formula for a polynomial function is

$p(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+...+a_{1}x+a_{0},\qquad a_{n}\neq 0$

• $a_{n}x^{n}$ is the leading term; $a_{n}$ is the leading coefficient
• the degree is $n$, the exponent of the power in the leading term.
• the long-run behavior of a polynomial is the same as its leading term's behavior.

## Recommended textbook solutions

#### Precalculus

2nd EditionISBN: 9780076602186Carter, Cuevas, Day, Malloy
8,886 solutions

#### Nelson Functions 11

1st EditionISBN: 9780176332037Chris Kirkpatrick, Marian Small
1,275 solutions

#### Functions Modeling Change: A Preparation for Calculus

5th EditionISBN: 9781118583197 (1 more)Eric Connally, Gleason, Hughes-Hallett
4,341 solutions

#### Precalculus with Limits

3rd EditionISBN: 9781133962885 (1 more)Larson
11,135 solutions