Provide an appropriate response.
-What is the minimum number of x intercepts that a polynomial of degree 8 can have? Explain.
A) 1 because a polynomial of even degree crosses the x axis at least once.
B) 0 because a polynomial of even degree may not cross the x axis at all.
C) 8 because this is the degree of the polynomial.
D) Not enough information is given.

Question

Quizplus · Accepted Answer

A polynomial of even degree may not cross the x axis at all, so it is possible for an eighth-degree polynomial to have no x-intercepts. A polynomial of even degree may not cross the x axis at all, so the minimum number of x intercepts that a polynomial of degree 8 can have is 0.

Provide an Appropriate Response