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Question

Degree of the polynomial f(x)=(x3+x2−4)(x3−8)(x−2)

A
5
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B
6
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C
9
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D
f(x) is not a polynomial
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Solution

The correct option is A 5
f(x)=(x3+x24)(x38)(x2)

=(x3+x24)(x2)(x2+2x+4)(x2)

=(x3+x24)(x2+2x+4)

=x5+2x4+4x3+x4+2x3+4x24x28x16

=x5+3x4+6x38x16

Degree of f(x) is 5

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