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In 45-56, use the Rational Zeros Theorem to find all
Chapter , Problem 5.5.45(choose chapter or problem)
In 45-56, use the Rational Zeros Theorem to find all the real zeros of each polynomial function. Use the zeros to factor f over the real numbers. f(x) = x3 + 2x2 - 5x - 6
Questions & Answers
QUESTION:
In 45-56, use the Rational Zeros Theorem to find all the real zeros of each polynomial function. Use the zeros to factor f over the real numbers. f(x) = x3 + 2x2 - 5x - 6
ANSWER:Step 1 of 3
Consider the given function.
Since the degree of the given function is , so it has at most real zeros.
By Descartes’ Rule Signs, there are or 1 positive zeros as there are 3 variations in sign.
So, there are 2 or 0 negative zeros as there are 2 variations in sign.