Question

The maximum number of zeros which a quadratic polynomial can have is ______.

Answer 1

The maximum number of zeros which a quadratic polynomial can have is two.

Explanation:

A nonzero quadratic has degree 2, so it can have at most 2 zeros. If b² – 4ac > 0 there are two distinct real zeros; if b² – 4ac = 0 there is one real double root; if b² – 4ac < 0 there are no real zeros but two complex conjugate roots.