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Question

Degree of the polynomial (a2−1)(a+2)(a3+3) is

A
3
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B
6
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C
2
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D
7
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Solution

The correct option is A 6
Simplifying the given polynomial as follows:

(a21)(a+2)(a3+3)=(a3+2a2a2)(a3+3)=a6+3a3+2a5+6a2a43a2a36
=a6+2a5a4+a3+6a23a6

Since the highest power of the polynomial a6+2a5a4+a3+6a23a6 is 6, hence the degree of the polynomial (a21)(a+2)(a3+3) is 6.

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