## Related questions with answers

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

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 4Recall: 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.

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