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Division Algorithm for a Polynomial

Find the quot...

Question

Find the quotient and remainder using synthetic division.
$(3 x^{3} - 2 x^{2} + 7 x - 5) \div (x + 3)$

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Solution

The division of $(3 x^{3} - 2 x^{2} + 7 x - 5)$ and $(x + 3)$ is shown above:

Hence, from the division, we get that the quotient is $(3 x^{2} - 11 x + 40)$ and the remainder is $- 125$ .

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