Directions: Find the value ofCthat makes the expression a perfect square trinomial. Then write the expression as the square of a binomial.

Problem: x² + 6x + c

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- Mar 3rd 2011, 03:38 PMNarga115perfect 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 PMtopsquark
A perfect square trinomial will always be in the following form: $\displaystyle (a + b) = a^2 + 2ab + b^2$

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 PMNarga115
Yes. Thank you for your help.