Factor
\left(t-1\right)\left(-t^{6}-t^{5}-t^{4}-1\right)
Evaluate
1-t+t^{4}-t^{7}
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\left(t-1\right)\left(-t^{6}-t^{5}-t^{4}-1\right)
By Rational Root Theorem, all rational roots of a polynomial are in the form \frac{p}{q}, where p divides the constant term 1 and q divides the leading coefficient -1. One such root is 1. Factor the polynomial by dividing it by t-1. Polynomial -t^{6}-t^{5}-t^{4}-1 is not factored since it does not have any rational roots.
Examples
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