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Question

Find the value of the given expression
(x3+2x2+3x)÷2x


A

1/2(x2+2x+3)

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B

1/2

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C

(x2+2x+3)

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D

1

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Solution

The correct option is A

1/2(x2+2x+3)


Divide all the terms of the expression (x3+2x2+3x) separately by 2x.
x32x=x22;
2x22x=x;
3x2x=32.
Therefore, (x3+2x2+3x)2x=x22+x+32=(x2+2x+3)2


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