Question

n the given graph of a cubic polynomial, what are the number of real zeros and complex zeros, respectively?

Answer 1

there would be 1 real zero and two complex zeros

Answer 2

Hence, the cubic polynomial has:

1 real zero and 2 complex zeros.

Explanation:

Clearly from the graph of the function we could observe that the graph passes through the point x=4 i.e. the point (4,0) that means x=4 is a zero of the polynomial.

other than this the graph does not pass through any other point on the real axis.

Hence, the cubic polynomial has only one real zero.

( which is x=4)

Also we know that a cubic polynomial has 3 zeros as one of the zero is real and there are no other real zeros.

That means the cubic polynomial has 2 complex zeros.

Hence, the cubic polynomial has:

1 real zero and 2 complex zeros.