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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Substituting b = 12:
x^2 + 12x + 36 = (x + 6) ( X + 6) ; therefore, a perfect square.
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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.