The correct option is D 1/2(x^2+2x+3)Given,(x^3+2x^2+3x)÷ 2x ⇒x^3+2x^2+3x/2x = x^3/2x+2x^2/2x+3x/2x = x̸^3/2x̸+2̸x^2/2̸x+3x̸/2x̸ = x^2/2+x+3/2 This can be writ ...

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Byju's Answer

Standard VIII

Mathematics

Simplification of Rational Algebraic Expression

x3+2 x2+3 x ÷...

Question

$(x^{3} + 2 x^{2} + 3 x) \div 2 x$ = ___________.

x^{2} + 2 x + 3

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\frac{1}{2} (x^{2} + 2 x + 3)

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2 x^{2} + 2 x + 3

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2 x^{2} + 2 x + 6

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Solution

The correct option is B $\frac{1}{2} (x^{2} + 2 x + 3)$
Given, $(x^{3} + 2 x^{2} + 3 x) \div 2 x$
$\Rightarrow$ $\frac{x^{3} + 2 x^{2} + 3 x}{2 x}$
= $\frac{x^{3}}{2 x} + \frac{2 x^{2}}{2 x} + \frac{3 x}{2 x}$
= $\frac{{x/}^{3}}{2 x/} + \frac{/ 2 x^{2}}{/ 2 x} + \frac{3 x/}{2 x/}$
= $\frac{x^{2}}{2} + x + \frac{3}{2}$
This can be written as $\frac{1}{2} (x^{2} + 2 x + 3)$

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Similar questions

Q. Simplify:

(x^{3} + 2 x^{2} + 3 x) \div 2 x

Evaluate $(x^{3} + 2 x^{2} + 3 x) \div 2 x$

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

Find the result of the following division.
$(x^{3} + 2 x^{2} + 3 x) \div 2 x$

Q. Divide the given polynomial by the given monomial.

(x^{3} + 2 x^{2} + 3 x) \div 2 x

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(x3+2x2+3x)÷2x = ___________.

The correct option is B 12(x2+2x+3)Given,(x3+2x2+3x)÷2x ⇒x3+2x2+3x2x = x32x+2x22x+3x2x = x/32x/+/2x2/2x+3x/2x/ = x22+x+32 This can be written as 12(x2+2x+3)

$(x^{3} + 2 x^{2} + 3 x) \div 2 x$ = ___________.