please help me please with this one question

Question

Complete the square for the expression. Also, identify the resulting expression as a binomial squared.

x² + 11x + ____

A.)

B.)

C.)

D.)



Please give and only give the explanation and the solution

Answer 1

x² + 11x = x² + 11x + (11/2)² - (11/2)² = (x + 11/2)² - 121/4

Answer 2

x^2 + 11x + (11/2)^2

= x^2 + 11x + 121/4

= (x+11/2)^2

take half of the x coefficient and square it. half 11 is 11/2. square it (11/2)^2

Answer 3

The answer is C

Divide the coefficient of the middle term 11 by 2. Then square the fraction 11/2.