Question

Every polynomial function of degree 3 with real coefficients has exactly three real zeros.

Answer 1

Explanation:

Consider the cubic polynomial,

$y=x^3+x^2+x+1$

This the polynomial function of degree 3 with real coefficients.

But this polynomial has only one real root that is x= -1.

Hence, it is false that every polynomial function of degree 3 with real coefficients has exactly three real zeros.

Therefore, the given statement is false.