Factor by Grouping x^3-9x^2+5x-45

$x^{3} - 9 x^{2} + 5 x - 45$

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(x^{3} - 9 x^{2}) + 5 x - 45$

Factor out the greatest common factor (GCF) from each group.

$x^{2} (x - 9) + 5 (x - 9)$

Factor the polynomial by factoring out the greatest common factor, $x - 9$ .

$(x - 9) (x^{2} + 5)$