One factor of f(x) = x3 − 14x2 + 61x − 84 is (x − 7). What are the zeros of the function?
2 answers:
Answer:
7, 4, 3
Step-by-step explanation:
Using Descartes' rule of signs, you can determine there are zero negative real roots. The above answer choice is the only one with no negative zeros listed.
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The count of negative real roots is based on the number of sign changes when the signs of odd-degree terms are reversed. Doing that gives the signs of the terms as - - - -, so there are no changes. That means there are no negative real roots.
A graphing calculator confirms this choice.
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