Respuesta :

lublana

Answer:

12

Step-by-step explanation:

Given trinomial is [tex]x^2-bx+36[/tex].

Now we need to find the value of b that will make the trinomial [tex]x^2-bx+36[/tex] a perfect square.

[tex]x^2-bx+36[/tex]

[tex]=x^2-bx+36[/tex]

[tex]=x^2-bx+6^2[/tex]

compar with  [tex]=a^2-2ab+b^2=(a-b)^2[/tex]. we get:

a=x and b=6

then middle term -2ab=-2(x)(6)=-12x

compare -12x with -bx, we get b=12

Hence choice C. 12 is correct.

imlittlestar

Answer:

The correct answer is option C.  12

Step-by-step explanation:

It is given a quadratic expression

x² - bx +  36

To find the value of b

From the above expression we can see that 36 is a perfect square,

6² = 36

We can write this expression as ( x - 6)² if b = 12

(x - 6)² = x² - 12x + 36

Therefore the correct answer is option C.   b = 12

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