factor x33x2x50 into x1x24x5 I am stuck on how this is done

factor x^3-3x^2+x+5=0 into (x+1)(x^2-4x+5)

I am stuck on how this is done, please show as much detail as possible

Thank you

Solution

We have x³ -3x² + x + 5 = x³ + x² - 4x² - 4x + 5x + 5 = x² ( x + 1) -4x(x + 1) + 5(x + 1) = (x + 1)(x² -4x + 5)