Q4 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) = 4x3-12x2+14x-3, g(x) = 2x-1

We have,

f(x) = 4x3-12x2+14x-3 and g(x) = 2x-1


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


Now, f(x) = 4x3-12x2+14x-3


f () = 4 ()3 – 12 ()2 + 14 () – 3


= (4 * ) – (12 * ) + 7 – 3


= – 3 + 7 – 3


=


Hence, required remainder is


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