How do you use the rational root theorem?
Understand the Problem
The question is asking for a method to apply the rational root theorem, which helps in finding possible rational roots of a polynomial equation. The high-level approach involves identifying the factors of the constant term and the leading coefficient to propose potential rational roots, then verifying them by substitution into the polynomial.
Answer
Take the factors of the constant term and divide them by the factors of the leading coefficient.
To use the Rational Root Theorem, take the factors of the constant term, divide them by the factors of the leading coefficient, and test these potential roots in the polynomial.
Answer for screen readers
To use the Rational Root Theorem, take the factors of the constant term, divide them by the factors of the leading coefficient, and test these potential roots in the polynomial.
More Information
This method helps in narrowing down the potential rational roots, thus simplifying the root-finding process for polynomials.
Tips
A common mistake is not testing all possible p/q fractions or misidentifying the factors of the constant term and leading coefficient.
Sources
- How to Use the Rational Roots Theorem | Study.com - study.com
- Rational Root Theorem (Rational Zero Theorem) - Examples, Proof - cuemath.com
- Rational root theorem - Wikipedia - en.wikipedia.org
