Question

If x2 + 12x + n is a perfect square trinomial, then n =?

Answer 1

Answer:

The answer is n=36 Hope this helps^_^

Step-by-step explanation:

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Answer 2

Answer:

36

Step-by-step explanation:

There is a pattern.  Try expanding some binomials to see the pattern.

$(x+3)^2=(x+3)(x+3)=x^2+6x+9\\(x+5)^2=(x+5)(x+5)=x^2+10x+25\\\vdots\\(x+c)^(x+c)(x+c)=x^2+2c+c^2$

Compare that last line with the problem.

$x^2+12x+n$

n is the square of half the coefficient of x.  In the two examples given above,

9 is the square of half of 6

25 is the square of half of 10

The square of half of 12 is $6^2=36$