What value of c makes the polynomial below a perfect square?x2 + 10x + cc =A.25B.5C.100D.20SUBMITarrow_backPREVIOUS
Question
Solution 1
The polynomial is a perfect square if it can be written in the form (x+a)^2.
The general form of a perfect square is (x+a)^2 = x^2 + 2ax + a^2.
Comparing this with the given polynomial x^2 + 10x + c, we can see that 2a = 10.
Solving for a gives a = 10/2 = 5.
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