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Find the quotient and the remainder when:
f(x) = x4 – 5x + 6 is divided by g(x) = 2 – x2.
It is given in the question that,
f (x) = x4 – 5x + 6 = x4 + 0x3 + 0x2 – 5x + 6
And, g (x) = x2 + 1 – x
Hence,
Quotient q (x) = x2 – 2
Remainder r (x) = 5x + 10