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Question

Find the remainder when 30y4+11y342y2+3 is divided by 3y2+2y?

A
2y+3
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B
-24y + 3
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C
y-2
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Solution

The correct option is B -24y + 3
Given: Here, we have to divide30y4+11y342y2+3 by 3y2+2y i.e. 30y4+11y342y2+33y2+2y
10y23y12
(3y2+2y)30y4+11y342y2+3 30y4+20y3 –––––––––––––––––– 9y342y2+3 9y36y2 + + –––––––––––––––––– 36y2+3 36y2 24y + –––––––––––––––––– 24y+3 ––––––––––––––––––
Remainder obtained when 30y4+11y342y2+3 is divided 3y2+2y is 24y+3.

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