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kirill115 [55]
3 years ago
7

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

Mathematics
2 answers:
Mademuasel [1]3 years ago
8 0
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.

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!
lutik1710 [3]3 years ago
8 0

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.

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