Try this problem from TOMATO Objective 288, useful for ISI BStat, BMath Entrance Exam based on finding big remainder in a small way.

**Problem: Tomato objective 288**

The remainder R(x) obtained by dividing the polynomial by the polynomial is

**(A)**

**(B)**

**(C)**

**(D)**

**SOLUTION:****(B)**

The the divisor is a quadratic term .So, R(x) must be 1 degree less than divisor.

We know ,

when ,

when ,

solving two equation we get,

and,

The remainder R(x) is

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