SOLUTION: Determine whether each of the following trinomials is perfect square. If it is, factor the trinomial. Stumped x squared-24x+48

Question 115090This question is from textbook Beginning algebra
: Determine whether each of the following trinomials is perfect square. If it is, factor the trinomial.
Stumped
x squared-24x+48 This question is from textbook Beginning algebra

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
If the polynomial is a perfect square, then there is an a such that

You can expand the right hand side and match up terms.

You have to satisfy two terms for the equation to be a perfect square
1.
2.
From 1,
1.

From 2,
2.

Since you can't satisfy both requirements 1 and 2, the polynomial is not a perfect square.

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