What value of b makes the polynomial below a perfect square?
x2 + bx + 36
b =
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
\(p(x)=x^2+bx+36\) .... (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.