Question

What is the value of n so that the expression x^2+12X+n is a perfect square trinomial?

Answer 1

Answer:

value of n is 36

Step-by-step explanation:

$x^2+12x+n$

To make perfect square trinominal , apply completing the square method

Take the coefficient of middle term, divide by 2 and square it

then add the square to make perfect square

$x^2+12x+n$

12 divide by 2 is 6

square of 6 is 36

Now add 36 to make perfect square

$x^2+12x+36$

$(x+6)(x+6)$

$(x+6)^2$

Answer 2

N is equal = 36

Or

n = 6^2

Because,

x^2 + 12x + 36 = x^2 + 2.6x + 6^2

= ( x + 6)^2