Find the value of c that makes the expression a perfect square trinomial. Then write the expression as the square of a binomial. I didn't really understand what that meant.

x^2-23x+c
x^2-(2/7)x+c

1 answer

take half the middle term coefficient, square it

x^2 - 23x + 526/4

= (x- 23/2)^2

looks like you learning the process of "completing the square"

here is an easier one ...

x^2 + 10x + c
or
x^2 + 10x + 25 ,,,,,(half of 10 is 5, 5^2 = 25)
= (x+5)^2

expand (x+5)^2 to see why this happens

Now try your own second question and let me know what you got for c .