How do you factor the trinomial # t^2 + t + 1/4#?

1 Answer
George C.
Jan 16, 2016

This is a perfect square trinomial.

#t^2+t+1/4 = (t+1/2)^2#

Explanation:

Perfect square trinomials are of the form:

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

In this case #t^2# and #1/4 = (1/2)^2# are both perfect squares. So the only question is do you get #t# as a middle term if you square #(t+1/2)#?

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