Question

What number should be added to the expression x^2 + 2x to change it into a perfect square trinomial?

A) 1
B) 2
C) 3
D) 4

Answer 1

`The\ perfect\ scuare:(a+b)^2=a^2+2ab+b^2\\------------------\\\\x^2+2x\to a=x;\ 2ab=2xb\to b=1\\\\therefore\\\\x^2+2x\cdot1+1^2=x^2+2x+\boxed{1}\leftarrow\boxed{A}`