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Question

The degree of the polynomial obtained when 86x+x27x3+x5 is subtracted from x46x3+x23x+1 is:

A

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B

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C

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D

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Solution

The correct option is D. 4

According to the question,

x46x3+x23x+1(x57x3+x26x+8)

=x46x3+x23x+1x5+7x3x2+6x8

=x5+x4+x3+3x7

Degree of the polynomial(that contains only one variable) is the highest exponent(power) of its various terms. The terms of the polynomial obtained are x5,x4,x3,3x and 7. Here, the term x5 has the highest power for the variable x and hence the degree of the given polynomial is 5.


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