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- Write in simplest form
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Let's divide the polynomial by $x-5$ 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 ($5$). Add the result to the second coefficient and multiply this by $5$ and so on
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$\left|\begin{matrix}1 & -5 & 0 & 7 \\ & 5 & 0 & 0 \\ 1 & 0 & 0 & 7\end{matrix}\right|5$
Learn how to solve problems step by step online. Simplify the expression (x^3-5x^2+7)/(x-5). Let's divide the polynomial by x-5 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 (5). Add the result to the second coefficient and multiply this by 5 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 (7) divided by the divisor. Any expression multiplied by 0 is equal to 0.