What value of c makes 3x^+24x+c a perfect trinomial?

Question

The ^ = 2 as an exponent

Answer 1

3x²+24x+c = 3(x² +8x+c/3).

Completing the square of the quadratic in parentheses, (x² +8x + 16) means that c/3 = 16 so c = 48.