Q6 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) = x4-3x2+4, g(x) = x-2

We have,

f(x) = x4-3x2+4 and g(x) = x-2


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


Now, f(x) = x4-3x2+4


f (2) = (2)4 – 3 (2)2 + 4


= 16 – 12 + 4


= 8


Hence, required remainder is 8.


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