SOLUTION: what constant should be added to the expression to make it a perfeect square trinomial? w^2-12w

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Question 212965: what constant should be added to the expression to make it a perfeect square trinomial?
w^2-12w
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
What constant should be added to the expression to make it a perfect square trinomial?

w%5E2-12w

Step 1. Take -12 and divide by 2 which is -6.

Step 2. Now square it and that yields %28-6%29%5E2=36

Step 3. Answer is 36.

Step 4. Let's check

w%5E2-12w%2B36=%28w-6%29%5E2

%28w-6%29%5E2=%28w-6%29%28w-6%29=w%5E2-6w-6w%2B36=w%5E2-12w%2B36

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J