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Question

Using remainder theorem, find the reminder when 3x2+x+7 is divided by x+2

A
17
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B
12
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C
9
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D
22
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Solution

The correct option is A 17
Let f(x)=3x2+x+7 and
g(x)=x+2
=>x+2=0
=>x=2
The remainder when f(x) is divided by g(x) is f(2) (By Remainder Theorem)
Thus, f(2)=3(2)2+(2)+7
=122+7
=17

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