Find the remainder when f(x) is divided by g(x) given that f(x) = 4x3 − 5x2 − 3x + 2 and g(x) = x − 3.

Given:

To find:

The remainder when f(x) is divided by g(x).

Solution:

According to remainder theorem, if f(x) is divides by (x-c), then remainder is f(c).

Using remainder theorem, if is divides by , then remainder is f(3).

Substitute x=3 in f(x).

Therefore, the required remainder is 56.

the correct answer is 828.07

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