Question

What is the minimum number of x intercepts that a polynomial of degree 11 can? have?

Answer 1

The degree of the polynomial will tell you the max amount of zeros you will have. 11 in this case.

However you can also have 9,7,5,3,1 (keep subtracting by 2)

So the answer is 1.

Answer 2

The minimum number of x-intercepts that a polynomial of degree 11 can have is 1

What is x-intercept?

The x-intercept is the point or the coordinate from where the line crosses and that lies at the x-axis of the plane

According to the given question.

We have a polynomial whose degree is 11.

⇒ It is an odd-degree polynomial.

Since, we know that

The maximum number of x-intercepts of a polynomial function is equals to the degree of the function.

And the minimum number of x-intercepts is zero for an even-degree polynomial functions and 1 for an odd-degree polynomial functions.

Therefore, the minimum number of x-intercepts that a polynomial of degree 11 can have is 1.

Find out more information about x-intercepts here:

https://brainly.com/question/14180189

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