Concept explainers
To find:the rational and irrational zeros of the polynomial.
Answer to Problem 83E
the zeros of the polynomial is
Explanation of Solution
Given information:
the polynomial is
concept used:
rational zero theorem,
Calculation:
The constant term is
The factors of 24 are
Thus, the possible rational zeros of
the possible zeros of
Using synthetic division,
1 | 1 | -7 | 9 | 23 | -50 | 24 |
1 | -6 | 3 | 26 | -24 | ||
1 | -6 | 3 | 26 | -24 | 0 |
3 | 1 | -7 | 9 | 23 | -50 | 24 |
3 | -12 | -9 | 42 | -24 | ||
1 | -4 | -3 | 14 | -8 | 0 |
4 | 1 | -7 | 9 | 23 | -50 | 24 |
4 | -12 | -12 | 44 | -24 | ||
1 | -3 | -3 | 11 | -6 | 0 |
-2 | 1 | -7 | 9 | 23 | -50 | 24 |
-2 | 18 | -54 | 62 | -24 | ||
1 | -9 | 27 | -31 | 12 | 0 |
The zeros of the polynomial is
Chapter 3 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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