Provide an appropriate response.
-What is the minimum number of x intercepts that a polynomial of degree 11 can have? Explain.
A) 1 because a polynomial of odd degree crosses the x axis at least once.
B) 11 because this is the degree of the polynomial.
C) 0 because a polynomial of odd degree may not cross the x axis at all.
D) Not enough information is given.

Question

Quizplus · Accepted Answer

A polynomial of odd degree must cross the x-axis at least once due to the end behavior of polynomials. As the degree increases, the polynomial's graph must transition from positive to negative infinity (or vice versa), ensuring at least one x-intercept.

Provide an Appropriate Response