Question

What is the maximum number of zeros in a cubic polynomial?

Answer 1

Answer:

Step-by-step explanation:

It's 3 a cubic polynomial can have a maximum of 3 zeros

Answer 2

Answer:

Step-by-step explanation:

if you're talking about real roots, the minimum no. of real roots that a cubic polynomial can have is 1. In this case the no. of complex roots (conjugate to each other) will be 2. But, you should know that a cubic polynomial can never have 2 real & 3 complex roots. Because, complex roots appear in conjugate pairs. So, either the cubic polynomial will have all the 3 roots as real no. or it'll have 1 real & 2 complex roots. And the reason behind the fact that a cubic polynomial can have 1 minimum real root is that the graph of the cubic function must intersect the X-axis at least one time or it will have no root, which is not possible.

Hope, you'll understand.!