Find the value of the given expressionx3- 2x2- 3x - 2x

Divide all the terms of the expression (x^3+ 2x^2+ 3x) separately by 2x. nbsp; x^3/ nbsp;2x = x^2/2; nbsp;2x^2/2x = x; 3x/2x = 3/2. Therefore, (x^3+ nb ...

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Standard VIII

Mathematics

Long Division

Find the valu...

Question

Find the value of the given expression
$(x^{3} + 2 x^{2} + 3 x) \div 2 x$

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Solution

Divide all the terms of the expression $(x^{3} + 2 x^{2} + 3 x)$ separately by $2 x$ .
$\frac{x^{3}}{2 x} = \frac{x^{2}}{2}$ ;
$\frac{2 x^{2}}{2 x} = x$ ;
$\frac{3 x}{2 x} = \frac{3}{2}$ .
Therefore, $\frac{(x^{3} + 2 x^{2} + 3 x)}{2 x} = \frac{x^{2}}{2} + x + \frac{3}{2} = \frac{(x^{2} + 2 x + 3)}{2}$

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