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

Question

10643 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-06-22T17:28:23

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#