The remainder obtained when $2 x^{4} + 3 x^{2} - 2$ is divided by $x^{2} + 2$ is_____

0

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12

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14

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16

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Solution

The correct option is A $0$
Steps:
1)Multiply $x^{2} + 2$ with $2 x^{2}$ , to get $2 x^{4}$ , Remainder $- x^{2} - 2$ ,
2) Multiply $x^{2} + 2$ with $- 1$ to get $- x^{2} - 2$ , Remainder $= 0$

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12

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