Find the remainder of the division problem shown below. (x⁴+x³-3x-3)÷(x+2)

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Find the remainder of the division problem shown below. (x⁴+x³-3x-3)÷(x+2)

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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if you only want the remainder, replace x by -2 in the numerator. that is in \[x^4+x^3-3x-3\] and see what you get. that will be the remainder
I got -21/x+2 ???
Note the formula: P(x)/D(x)= Q(x)+R(x)/D(x), where R(x) is our remainder, P(x) is the polynomial and Q(x) is our quotient and D(x), the divisor. Here i got R(x)/D(x)=11/(x+2), this implies that our R(x), the remainder is 11.

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remainder is 11/(x+2) Sorry I ran out of room above or I would show all of my steps

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