Which answer best describes the complex zeros of the polynomial function? f(x)=x3+x2−8x−8 a      the function has three real zeros. the graph of the function intersects the x-axis at exactly three locations. b  the function has one real zero and two nonreal zeros. the graph of the function intersects the x-axis at exactly two locations.  c the function has two real zeros and one nonreal zero. the graph of the function intersects the x-axis at exactly one location. d    the function has one real zero and two nonreal zeros. the graph of the function intersects the x-axis at exactly one location.

a

Step-by-step explanation:

took the test

we are given

We can use Descarte's sign rule to find number of real roots

Positive real roots:

we can see that number of sign changes in this function is 1

so, number of positive real root =1

Negative real roots:

Firstly, we will find f(-x)

we can see that number of sign changes in this function is 2

so, number of negative  real root =2

so, total number of real roots = number of positive real roots + number of negative real roots

total number of real roots =1+2

total number of real roots =3

Since, the degree of this polynomial is 3

so, maximum number of roots must be 3

We know that all roots are also called x-intercept because it crosses x-axis at that value

so, function will cross x-axis thrice

so, option-A.......Answer