Find the quotient and remainder using synthetic division.
$(x^{3} - x^{2} - 3 x + 5) \div (x - 1)$

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Solution

The division of $(x^{3} - x^{2} - 3 x + 5)$ and $(x - 1)$ is shown above:
Hence, from the division, we get that the quotient is $(x^{2} + 2 x - 1)$ and the remainder is $4$ .

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