How to use the rational zero theorem?
Understand the Problem
The question is asking for guidance on how to apply the rational zero theorem, which is a method used in algebra to identify possible rational roots of a polynomial function. It involves testing various rational numbers derived from the coefficients of the polynomial.
Answer
Using the Rational Zero Theorem involves listing factors of the constant term and the leading coefficient, then forming and testing possible rational zeros.
Using the Rational Zero Theorem involves finding potential rational zeros that are fractions formed by the factors of the constant term and the factors of the leading coefficient, then testing these values in the polynomial.
Answer for screen readers
Using the Rational Zero Theorem involves finding potential rational zeros that are fractions formed by the factors of the constant term and the factors of the leading coefficient, then testing these values in the polynomial.
More Information
The Rational Zero Theorem is especially useful because it reduces the number of possible rational zeros by restricting them to specific fractions, making it easier to identify actual solutions.
Tips
A common mistake is to forget to check each proposed zero by substituting them back into the polynomial. Also, remember to include both positive and negative factors when forming possible rational zeros.
Sources
- Rational Zero Theorem - Algebra II - CliffsNotes - cliffsnotes.com
- The Rational Zeros Theorem - SparkNotes - sparknotes.com
- Rational Root Theorem (Rational Zero Theorem) - Examples, Proof - Cuemath - cuemath.com
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