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mrs_skeptik [129]
3 years ago
8

Describe the end behavior of a ninth-degree polynomial with a negative leading coefficient

Mathematics
1 answer:
Degger [83]3 years ago
5 0

Given:

The degree of polynomial = 9

Leading coefficient is negative.

To find:

The end behavior of the polynomial.

Solution:

Let the polynomial be P(x).

We have,

Degree of polynomial = 9, which is odd.

Leading coefficient is negative.

If the degree of a polynomial is odd and leading coefficient is negative, then

P(x)\to \infty\text{ as }x\to -\infty

P(x)\to -\infty\text{ as }x\to \infty

Therefore, the end behavior of the given polynomial is P(x)\to \infty\text{ as }x\to -\infty,P(x)\to -\infty\text{ as }x\to \infty.

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