In each of the following, using the remainder theorem, find the remainder when f(x) is divided by g(x):
f(x) = 3x4+2x3
, g(x) = x+
We have,
f(x) = 3x4+2x3
and g(x) = x+
Therefore, by remainder theorem when f (x) is divided by g (x) = x – (- 
), the remainder is equal to f (
)
Now, f(x) = 3x4+2x3
f (
) = 3 (
)4 + 2 (
)3 – (
) - 
+ 
= 3 * 
+ 2 * 
- 
- 
+ 
= 
- 
- 
+ 
+ 
= 
= 
= 0
Hence, required remainder is 0.
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