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Question
Divide and write the quotient and the remainder.
(3x − 3x2 − 12 + x4 + x3) ÷ (2 + x2)
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Solution
(3x − 3x2 − 12 + x4 + x3) ÷ (2 + x2)
x2 + x − 5
`x^2 + 2")"overline(x^4 + x^3 - 3x^2 + 3x - 12)`
x4 + 0x3 + 2x2
− − −
x3 − 5x2 + 3x − 12
x3 − 0x2 + 2x
− −
−5x2 + x − 12
−5x2 − 10
+ +
x − 2
So, quotient = x2 + x − 5 and remainder = x − 2.
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