Final Answer
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Let's divide the polynomial by $x+3$ using synthetic division (also known as Ruffini's rule). First, write all the coefficients of the polynomial in the numerator in descending order based on grade (putting a zero if a term doesn't exist). Then, take the first coefficient ($1$) and multiply it by the root of the denominator ($-3$). Add the result to the second coefficient and multiply this by $-3$ and so on
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$\left|\begin{matrix}1 & 3 & 1 & 6 \\ & -3 & 0 & -3 \\ 1 & 0 & 1 & 3\end{matrix}\right|-3$
Learn how to solve polynomial long division problems step by step online. Simplify the expression (x^3+3x^2x+6)/(x+3). Let's divide the polynomial by x+3 using synthetic division (also known as Ruffini's rule). First, write all the coefficients of the polynomial in the numerator in descending order based on grade (putting a zero if a term doesn't exist). Then, take the first coefficient (1) and multiply it by the root of the denominator (-3). Add the result to the second coefficient and multiply this by -3 and so on. In the last row appear the new coefficients of the polynomial. Use these coefficients to rewrite the new polynomial with a lower grade, and the remainder (3) divided by the divisor. Any expression multiplied by 0 is equal to 0. Add the values 0 and 1.