
Concept explainers
To find: the all rational zeros of polynomial and using the

Answer to Problem 49E
The rational zeros are
Explanation of Solution
Given information:
The polynomial is
Concept used: rational zero theorem,
Quadratic formula
Calculation:
By the rational zeros theorem the rational zeros of
The constant term is
The factors of
Thus, the possible rational zeros of
Simplify the fractions, so the all possible rational zero
Using synthetic division,
-1 | 1 | -6 | 4 | 15 | 4 |
-1 | 7 | -11 | -4 | ||
1 | -7 | 11 | 4 | 0 |
4 | 1 | -6 | 4 | 15 | 4 |
4 | -8 | -16 | -4 | ||
1 | -2 | -4 | -1 | 0 |
By using synthetic division, -1,4 is a zero then P factors are,
Now we use the quadratic formula to obtain the two remaining zeros,
The rational zeros are
Chapter 3 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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