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Question

The degree of the quotient when 6x3+3x is divided by 3x is ___

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Solution

First factorize the dividend:
6x3+3x = 6×x×x×x+3×x=3×x(2x2+1)
6x3+3x3x = 3x(2x2+1)3x
= (2x2+1)
So, the degree of 2x2+1 is 2


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