Concept explainers
To find:the rational and irrational zeros of the polynomial.
Answer to Problem 84E
the zeros of the polynomial is
Explanation of Solution
Given information:
the polynomial is
concept used:
rational zero theorem,
Calculation:
The constant term is 6and the leading coefficient is 8so
The factors of 6are
Thus, the possible rational zeros of
the possible zeros of
Using synthetic division,
1 | 8 | -14 | -22 | 57 | -35 | 6 |
8 | -6 | -28 | 29 | -6 | ||
8 | -6 | -28 | 29 | -6 | 0 |
-2 | 8 | -14 | -22 | 57 | -35 | 6 |
-16 | 60 | -76 | 38 | -6 | ||
8 | -30 | 38 | -19 | 3 | 0 |
The zeros
Factors:
The zeros of the polynomial is
Chapter 3 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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