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Question

# The degree of the polynomial obtained when 8âˆ’6x+x2âˆ’7x3+x5 is subtracted from x4âˆ’6x3+x2âˆ’3x+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,x4−6x3+x2−3x+1−(x5−7x3+x2−6x+8)=x4−6x3+x2−3x+1−x5+7x3−x2+6x−8=−x5+x4+x3+3x−7 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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