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Question

When we divide 3t4+5t3−7t2+2t+2 by t2+3t+1, we get 3t2−4t+2 as quotient.


A

True

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B

False

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Solution

The correct option is A

True


Lets divide 3t4+5t37t2+2t+2 by t2+3t+1,

3t24t+2t2+3t+1 )¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ 3t4+5t37t2+2t+2 3t4±9t3±3t2––––––––––––––– 4t310t2+2t4t312t24t––––––––––––––––– 2t2+6t+22t2±6t±2–––––––––––– 00

Thus, the given statement is true.


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