Question

Which of the following statements is true for a polynomial p(x) of degree 3?

Options

• p(x) has at most two distinct zeroes.

• p(x) has at least two distinct zeroes.

• p(x) has exactly three distinct zeroes.

• p(x) has at most three distinct zeroes.

Answer 1

p(x) has at most three distinct zeroes.

Explanation:

By the Fundamental Theorem of Algebra, a cubic polynomial can have no more than three distinct roots.