Question

What is the quotient when x^3 -5x^2 + 3x -8 is divided by x-3 ?

Answer 1

For this case, when making the division of polynomials, we must build a quotient that when multiplied by the divisor of the same as the terms of the dividend, the sign is changed and they are eliminated until reaching the remainder of the division.

It must be fulfilled that:

$Dividend = Quotient * Divider + Remainder$

When observing the attached figure, the quotient is:

$x ^ 2-2x-3$

Answer:

$x ^ 2-2x-3$

See attached image