Concept explainers
a.
To state if the given statement is true or false.
a.
Answer to Problem 46PPS
False
Explanation of Solution
Given:
Statement: All binomials that have a perfect square in each of the two terms can be factored.
The factor of sum of squares cannot be factored in the binomial. They can only be subtracted.
For example,
Whereas considering the sum of squares,
Here the binomial is again with perfect square terms, but they cannot be factored.
Conclusion:
The given statement is false.
b.
To state if the given statement is true or false.
b.
Answer to Problem 46PPS
False
Explanation of Solution
Given:
Statement: All trinomials that have a perfect square in the first and last terms can be factored.
Consider any two perfect square terms,
Let the terms be
Forming a trinomial with the first and last perfect terms need not be factored.
Consider,
Here, the first and last terms are perfect squares, but still this cannot be factored. Thus, all trinomials that have a perfect square in the first and last terms cannot be factored.
Conclusion:
The given statement is false.
Chapter 8 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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