SOLUTION: Find the value of "c" that makes the trinomial a perfect square: x^2+16x+c

SOLUTION: Find the value of "c" that makes the trinomial a perfect square: x^2+16x+c

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Question 178392This question is from textbook
: Find the value of "c" that makes the trinomial a perfect square: x^2+16x+c This question is from textbook

Answer by ilana(307) (Show Source): You can put this solution on YOUR website!
A perfect square is (x+a)^2. (x+a)^2 = x^2 +2ax + a^2. So in your trinomial, 2ax=16x, so 2a=16, so a=8. Since c is a^2, c=8^2, or 64.
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