Question

What value of c makes x² + 6x + c a perfect square trinomial?

A. c = 3
B. c = 6
C. c = 9
D. c = 12

Answer 1

To make x² + 6x + c a perfect square trinomial, the value of c is 9.

Step-by-step explanation:

To make x² + 6x + c a perfect square trinomial, we need to determine the value of c.

A perfect square trinomial can be factored into the square of a binomial, where the binomial has the form (x + a)^2.

By comparing x² + 6x + c with (x + a)^2, we can see that a = 3.

Therefore, the value of c that makes x² + 6x + c a perfect square trinomial is c = 9 (since 3^2 = 9).