Question

Which value of b makes the trinomial a perfect square

Answer 1

The correct answer is option C. 12

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

Answer 2

12

Explanation:

Given trinomial is
`x^2-bx+36`.

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

`x^2-bx+36`

`=x^2-bx+36`

`=x^2-bx+6^2`

compar with
`=a^2-2ab+b^2=(a-b)^2`. 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.