SOLUTION: what term should be added to x^2-2/3x ? so its a perfect square trinomial?

Question 84728: what term should be added to x^2-2/3x ? so its a perfect square trinomial?
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given:
.

.
Find the number that must be added to the given binomial to make it a perfect square
trinomial.
.
As long as the multiplier of the term is 1, you can use the following method:
.
Identify the multiplier of the term. In this problem that multiplier is .
Divide that by 2. When you do, the answer is . Square this answer:
.

.
Thats the answer. If you add to the original binomial you get:
.

.
and this trinomial factors into
.
Hope this helps. Remember that you need the multiplier of the term to be 1. Then
you divide the multiplier of the by 2 and square it to find the constant that you
need to add to make the trinomial a perfect square.
.
Hope this helps you to understand how to work this problem.
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