Question

What Is The Value Of n So That The Expression

Answer 1

Given is the expression, x² + 12x + n

It says to find value of 'n' that converts it into a Perfect Square Trinomial.

A perfect square trinomial is a quadratic expression which has a single root with multiplicity 2. i.e. it is of the form :- x² + 2bx + b² = (x + b)²

On comparing it with the given expression, we get :-

So 2b = 12 and n = b²

b = 6

and so b² = 6² = 36.

⇒ n = 36

Hence, x² + 12x + 36 = (x + 6)² i.e. n = 36 is the final answer.

Answer 2

36 because x^2 + 12x + 36 = ( x + 6 )^2 is a perfect square trinomial;