How do you do long division of polynomials with remainders?

1 Answer
Dec 24, 2014

It is the same but just instead of getting 0 you get a polynomial in the last step.

Divide # 3x^3 – 5x^2 + 10x – 3 # by # 3x + 1#

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in this case you get a polynomial seven which can be writtten in algebraic terms as #7x^0#
so this can be proved using the division algoritm

dividend = divisor #*# quotient + remainder