Q5 of 96 Page 6

In each of the following, using the remainder theorem, find the remainder when f(x) is divided by g(x):

f(x) = x3-6x2+2x-4, g(x) = 1-2x

We have,

f(x) = x3-6x2+2x-4 and g(x) = 1-2x


Therefore, by remainder theorem when f (x) is divided by g (x) = -2 (x - ), the remainder is equal to f ()


Now, f(x) = x3-6x2+2x-4


f () = ()3 – 6 ()2 + 2 () – 4


= - + 1 – 4


=


Hence, required remainder is


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