Question

Carla is using the Rational Root Theorem and synthetic division to find real roots of polynomial functions and sketch their graphs. She says she has w

Polynomial graphs
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asked 2021-06-13
Carla is using the Rational Root Theorem and synthetic division to find real roots of polynomial functions and sketch their graphs. She says she has wasted her time when she tests a possible root and finds a nonzero remainder instead. Do you agree with her statement? Explain your reasoning.

Answers (1)

2021-06-14
Carla is correct in her statement. The rational root theorem generates a list of all possible roots of a function; some of which might not even exist if the function has imaginary roots. But nevertheless, one has to check with each possible root to determine the real zeros, which in fact is a time consuming process.
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