Question

How do you divide `(7x^3+14x^2-3) /(x-3)`?

Answer 1

Use either polynomial long division or synthetic division to get:
`(7x^2+35x+105)` with a remainder of `(+312)`

Explanation:

Here it is as polynomial long division:

#{: (,,7x^2,+35x,+105,), (x-3,")",bar(7x^3),bar(+14x^2),bar(color(white)("XXX")),bar(-3)), (,,7x^3,-21x^2,,-3), (,,bar(color(white)("XXX")),bar(35x^2),bar(color(white)("XXX")),bar(-3)), (,,,35x^2,-105x,), (,,,bar(color(white)("XXX")),bar(105x),bar(-3)), (,,,,105x,-315), (,,,,bar(color(white)("XXX")),bar(+312)) :}#