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To find the quotient of \((3x^3+11x^2+26x+30)\) when divided by \((x+5)\), we can use polynomial long division or synthetic division. Using synthetic division, we can write: \[ \begin{array}{c|cccc} \text{} & 3 & 11 & 26 & 30 \\ -5 & \downarrow & -15 & 20 & -230 \\ \hRead more

To find the quotient of \((3x^3+11x^2+26x+30)\) when divided by \((x+5)\), we can use polynomial long division or synthetic division.

Using synthetic division, we can write:

\[

\begin{array}{c|cccc}

\text{} & 3 & 11 & 26 & 30 \\

-5 & \downarrow & -15 & 20 & -230 \\

\hline

\text{} & 3 & -4 & 46 & -200 \\

\end{array}

\]

Therefore, the quotient is \(3x^2-4x+46\) and the remainder is \(-200\).

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