What is the remainder when $3 x^{3} - 2 x^{2} y - 3 x y^{2} - 10 y^{3}$ is divided by $x - 2 y$ ?

0

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y

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x + y

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x + 2 y

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Solution

The correct option is A $0$

We divide the polynomial $3 x^{3} - 2 x^{2} y - 3 x y^{2} - 10 y^{3}$ by $x - 2 y$ as shown in the above image:

From the above division, we conclude that the quotient is $3 x^{2} + 4 x y + 5 y^{2}$ and the remainder is $0$ .

Hence, the remainder is $0$ .

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