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QUESTION
Is ##4x^2 + 28x + 49## a perfect square trinomial and how do you factor it?
Yes it is.
##4x^2+28x+49 = (2x+7)^2##
All perfect square trinomials are of the form:
##a^2+-2ab+b^2 = (a+-b)^2##
In this case ##a = 2x## and ##b=7## ...
##4x^2+28x+49##
##=(2x)^2+(2*(2x)*7)+7^2##
##=(2x+7)^2##
