Question

What value of b makes the polynomial below a perfect square?

Answer 1

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 2

Answer:

The correct option is B.

Step-by-step explanation:

The given polynomial is

$p(x)=x^2+bx+36$                .... (1)

A perfect square trinomial is

$(x+y)^2=x^2+2xy+y^2$          .... (2)

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

$b=2y$             .... (3)

$y^2=36$

Taking square root both the sides.

$y=6$

Put y=6 in equation (3).

$b=2(6)=12$

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