What is a rational root theorem?

Problem Statement

What is a rational root theorem?

Step-by-Step Explanation

The rational root theorem lists possible rational zeros of a polynomial using factors of the constant and leading coefficient.

1. Identify what the question is asking. In College Algebra, this usually means naming the known quantities, the unknown quantity, and the concept that connects them.
2. Write the relevant definition, rule, or relationship before substituting numbers or manipulating symbols.
3. Work one step at a time and keep units, signs, and restrictions visible.
4. Check whether the answer makes sense in the original context.

Final Answer

The rational root theorem lists possible rational zeros of a polynomial using factors of the constant and leading coefficient. The reliable strategy is to start from the definition, apply the correct rule carefully, and then interpret the result in plain language.