# Is 4x^2 + 28x + 49 a perfect square trinomial and how do you factor it?

Yes it is.

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##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##

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