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

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Answer 1 · 2015-05-10T19:38:44

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

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

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