# perfect square trinomial/square of binomial

• Mar 3rd 2011, 03:38 PM
Narga115
perfect square trinomial/square of binomial
Directions: Find the value of C that makes the expression a perfect square trinomial. Then write the expression as the square of a binomial.

Problem: x² + 6x + c
• Mar 3rd 2011, 03:48 PM
topsquark
Quote:

Originally Posted by Narga115
Directions: Find the value of C that makes the expression a perfect square trinomial. Then write the expression as the square of a binomial.

Problem: x² + 6x + c

A perfect square trinomial will always be in the following form: $(a + b) = a^2 + 2ab + b^2$

For your problem a is clearly equal to x. The linear term is then 6x = 2ab = 2(x)b. Thus we may identify 2b = 6. That makes b = 3. Can you finish this?

-Dan
• Mar 3rd 2011, 04:02 PM
Narga115
Yes. Thank you for your help.