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Question

Using remainder theorem, find the remainder when 4x3+5x−10 is divided by x−3.

A
197
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B
113
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C
1
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D
0
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Solution

The correct option is B 113
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)=4x3+5x10
remainder is when you put x=3 in p(x)=p(3)
p(x)=4×33+5×310
p(3)=113

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