Q2 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) = 4x4-3x3-2x2+x-7, g(x) = x-1

We have,

f(x) = 4x4-3x3-2x2+x-7 and g(x) = x-1


Therefore, by remainder theorem when f (x) is divided by g (x) = x – 1, the remainder is equal to f (+1)


Now, f(x) = 4x4-3x3-2x2+x-7


f (1) = 4 (1)4 – 3 (1)3 – 2 (1)2 + 1 – 7


= 4 – 3 – 2 + 1 – 7


= -7


Hence, required remainder is -7.


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