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Two students divide $12 x^{4}$ by $4 x^{2}$ . Rohit says the answer is $3 x^{2}$ ; Sita says it is $3 x^{6}$ .
Who is correct and what is the right quotient?

Class 8Dividing Algebraic ExpressionsAlgebra

ARohit; $3 x^{2}$
BSita; $3 x^{6}$
CBoth; $3 x^{2}$
DNeither; $8 x^{2}$

Step-by-Step Solution

\frac{12 x ^{4}}{4 x ^{2}} = \frac{12}{4} \cdot \frac{x ^{4}}{x ^{2}} = 3 x^{2}

. Exponents subtract

(4 - 2 = 2)

, they do not add. Rohit is right.

Answer: A) Rohit;

3 x^{2}

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