Question

Minimum number of x-intercepts that a polynomial of degree 12 can have

(a) 0
(b) 6
(c) 12
(d) 24

Answer 1

A polynomial of degree 12 can have a maximum of 12 x-intercepts.

Step-by-step explanation:

A polynomial of degree 12 can have a maximum of 12 x-intercepts. An x-intercept is a point where the polynomial crosses the x-axis, which means the value of y is equal to zero at these points. Since a polynomial of degree 12 can have at most 12 roots, it can have at most 12 x-intercepts.