find the value of c for which the expression is a perfect sq

find the value of c for which the expression is a perfect square trinomial. then facator the perfect square trinomial. x^2+11x+c value of c= Factored form=

Solution

x^2 + 11x +c

formula for perfect square: (a+b)^2 = a^2 +b^2 +2ab

comparing with this x^2 + 11x +c

we have a = x ; 11x =2ab

b = 11/2

So, c = b^2 = 121/4

x^2 + 11x +c = x^2 +11x + 121/4 = (x+11/2)^2

c = 121/4