Is x^2+5x+25 a perfect square trinomial??

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Answer 1 · 2018-05-09T05:35:06

No.

To form a perfect trinomial,

#(a+b)^2=a^2+2ab+b^2#

#a^2=x^2#
#a=x#

#b^2=25#
#b=+-5#

#2ab=2(x)(5)=10x#

However, the second term of the trinomial is #5x# instead of #10x#, it is not a perfect square.

The closest perfect trinomials with the same first and third terms would be #x^2+-10x+25#.