
To explain: The statement “In a

Answer to Problem 85HP
The statement is always true.
Explanation of Solution
Given information:
The statement “In a quadratic equation in standard form where a, b, and c are integers, if b is odd, then the quadratic cannot be a perfect square trinomial.”
Consider the statement “In a quadratic equation in standard form where a, b, and c are integers, if b is odd, then the quadratic cannot be a perfect square trinomial.”
A perfect square trinomial is expressed as,
The coefficient of linear term must be even.
In logic and reasoning the contrapositive of the conditional “If p then q ” is “If not q then not p ”.
The provided statement is equivalent to “If the quadratic function is expressed in standard and if it is a perfect square trinomial then b is even.”
So, the integer b has to be an even number.
Thus, the statement is always true.
Chapter 5 Solutions
Algebra 2
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