Respuesta :

The best and most correct answer among the choices provided by your question is the second choice or letter B. 12

Substituting b = 12:

x^2 + 12x + 36 = (x + 6) ( X + 6) ; therefore, a perfect square.

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Answer:

The correct option is B.

Step-by-step explanation:

The given polynomial is

[tex]p(x)=x^2+bx+36[/tex]                .... (1)

A perfect square trinomial is

[tex](x+y)^2=x^2+2xy+y^2[/tex]          .... (2)

On comparing (1) and (2), we get

[tex]b=2y[/tex]             .... (3)

[tex]y^2=36[/tex]

Taking square root both the sides.

[tex]y=6[/tex]

Put y=6 in equation (3).

[tex]b=2(6)=12[/tex]

The value of b is 12, therefore the correct option is B.