Q.

The expression14x+11+4x+127−1−4x+127is a polynomial in x of degree.

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answer is 3.

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Detailed Solution

We have,14x+11+4x+127−1−4x+127=1274x+12 7C14x+1+7C3(4x+1)3+7C5(4x+1)5+7C7(4x+1)7 =126 7C1+7C3(4x+1)+7C5(4x+1)2+7C7(4x+1)3Clearly, it is a polynomial of degree 3.
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