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


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