Question 842965
The area product is simply {{{(3x+5)(x+7)}}}, which can multiply if desired to obtain {{{highlight(3x^2+26x +35)}}}.


You can use Completion of the Square on the trinomial product to put this trinomial into standard form.  You would want this form to be like {{{(x-h)^2+k}}}.

Study the lesson http://www.algebra.com/tutors/Completing-the-Square-Using-Pictures.lesson?content_action=show_dev
Which explains the process, meaning, and method very thoroughly.