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Question

Using remainder theorem, find the remainder when 2x33x2+4x5 is divided by x+3.

A
204
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B
136
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C
98
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D
42
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Solution

The correct option is A 98
Remainder Theorem states that the remainder of the division of a polynomial f(x) by a linear polynomial (xa) is f(a) or in other words (xa) is divisor of f(x) if and only if f(a)=0
Here a=3
Let p(x)=2x33x2+4x5
remainder is when you put x=3 in p(x)=p(3)
p(3)=2(3)33(3)2+4(3)5
p(3)=98

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