Thread: 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

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:

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

Yes. Thank you for your help.