Question

Find the value of c that makes each trinomial a perfect square.

Answer 1

Answer:

The answer to your question is the letter a.

Step-by-step explanation:

Data

             x² + 12x + c

If this trinomial is a perfect square trinomial, the third term must be half the second term divided by the square root of the first term, and to the second power.

-Get half the second term

               12x/2 = 6x

-Divide by the square root of the first term

               6x/x = 6

-Express the result to the second power

                          6² = 36

-Write the perfect square trinomial

             (x² + 12x + 36) = (x + 6)²