To calculate : All positive integral values of k for which the trinomial can be factored.
Answer to Problem 43WE
The positive integral values of k for which the given trinomial can be factored are 5, 8, and 9.
Explanation of Solution
Given information : The given trinomial is
Formula used :
Calculation :
Suppose, the given expression,
Expanding
Comparing
If a and b are positive integers and
a | b | a + b | ab = k |
1 | 5 | 6 | 5 |
2 | 4 | 6 | 8 |
3 | 3 | 6 | 9 |
Therefore, the positive integral values of k for which the given trinomial can be factored are 5, 8, and 9.
Chapter 5 Solutions
Algebra: Structure And Method, Book 1
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