Question

How do you divide `( -x^3+ x^2+12x+36 )/(x - 5 )`?

Answer 1

One method would be to apply synthetic division
`color(white)("XXX")-x^2-4x-8 and (-4)/(x-5)`

Explanation:

`{:(,,x^3,x^2,x^1,x^0),(,"|",-1,+1,+12,+36),(,"|",,-5,-20,-40),(bar(xx (+5)),bar("|"),bar(-1),bar(-4),bar(-8),bar(-4)),(,,x^2,x^1,x^0,"Remainder"):}`