Question

Quiz

1
Active
O24
O 36
3
4
5
6
7
8
9
What value of c makes x2 - 12x + c a perfect square trinomial?
O -36
O -24

Answer 1

To make x^2 - 12x + c a perfect square trinomial, the value of c is -36.

Step-by-step explanation:

A perfect square trinomial can be written in the form (x + a)^2, where a represents the middle term when expanded. In this case, we have x^2 - 12x + c. To make it a perfect square trinomial, we need to find the value of c. We can do this by taking half of the coefficient of the x term, squaring it, and setting it equal to c. Since the x coefficient is -12, half of it is -6. Squaring -6 gives us 36, so the value of c that makes x^2 - 12x + c a perfect square trinomial is -36.

Learn more about perfect square trinomial