Question

Which value must be added to the expression x^2+12x to make it a perfect square trinomial a:6 b:36 c:72 d:144

Answer 1

The answer would be 36. Why?

Because in the equation we would need to do (x + 6)(x + 6) to get a perfect square trinomial.

And 6 * 6 is 36.

So the whole equation would be: x^2 + 12 + 36.

Hope this helped! c:

Answer 2

The quadratic expression uses the following formula:

$ax^2 + bx + c$

The expression is missing the variable of c, and it is a perfect square trinomial.

To find c in a perfect square trinomial, we will use the following formula:

$c = (\frac{b}{2}})^2$

The value of b in this expression is 12. Plug this value into the formula:

$\frac{12}{2} = 6$

$6^2 = \boxed{36}$

36 must be added to make this trinomial a perfect square.