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How do you factor by grouping #t^3-t^2+t-1#?

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May 10, 2015

#t^3-t^2+t-1 = (t^3-t^2)+(t-1) #
#= t^2(t-1)+1(t-1)=(t^2+1)(t-1)#.

Since #t^2+1 > 0# for all real values of #t#, there are no smaller factors with real coefficients.

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