JEE MATHEMATICS MCQ: THEORY OF EQUATION

1 Hard

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Analyzing +4 | -1

Let

{P_n}\left( x \right) = 1 + 2x + 3{x^2} + \ldots + \left( {n + 1} \right){x^n}

be a polynomial such that

n

is even. Then, the number of real roots of

{P_n}\left( x \right),

View answer and explanation

Correct option: A

Option A (0) is correct because the polynomial has no real roots when n is even.

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