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Question
Find the quotient and the remainder when f(x) = x3 – 3x2 + 5x – 3 is divided by g(x) = x2 – 2.
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Solution
x – 3
`x - 2")"overline(x^3 - 3x^2 + 5x - 3)`
x3 – 2x
– +
– 3x2 + 7x – 3
– 3x2 + 6
+ –
7x – 9
Quotient q(x) = x – 3
Remainder r(x) = 7x – 9
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