Question

What value of c makes the polynomial below a perfect square?
x^2+16x+c
c=

Answer 1

It's 64=c, that makes the polynomial a perfect square.

Explanation:

The other users explain this pretty well. Also, I just did this on ap-ex. 8)

Answer 2

c=64

Explanation:

A perfect square is a number made by squaring another number, such as 4 x 4 or 5 x 5.

Think about how you would normally factor a trinomial. When doing so, you need two numbers that multiply together to give you the third term (c in this case) and add together to give you the middle term (16 in this problem).

Ask yourself, what numbers can I add to get 16 and multiply to get a perfect square? The number you are looking for here is 8.

So, the perfect square of this trinomial would be x^2+16x+64 because 8 x 8 is 64 and 8 + 8 is 16.

The factored version of it would be

(x+8)(x+8)