factors of x3 - 9x2 + 5x - 45 by grouping

x2 (x-9) + 5 (x-9) this is one of possible answers

Important: Use the symbol "^" to denote exponentiation:

x3 - 9x2 + 5x - 45 NO

x^3 - 9x^2 + 5x - 45 YES

Look at the first 2 terms. They can be rewritten as x^2 (x-9). Then look at the last 2 terms. They can be rewritten as 5 (x-9). So, x-9 is the common factor here. Thus, the original expression becomes:

(x^2-5) (x-9).

Note that x^2-5 can be factored, so that the final 3 factors are:

(x-sqrt (5)), (x+sqrt (5)), (x-9).