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Question

Using remainder theorem, find the reminder when $$3x^2+x+7$$ 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 $$f(x)=3x^2+x+7$$ 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, $$f(-2)=3(-2)^2+(-2)+7$$
                      $$=12-2+7$$
                      $$=17$$

Mathematics

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