JEE MATHEMATICS MCQ: THEORY OF EQUATION

1 Hard

1 of 1

Application +4 | -1

The coefficient of

x

in polynomial

(X-\alpha)(X-\beta)(X-\gamma)

where

\alpha=\cos 75^{\circ}, \beta=\cos 45^{\circ}

and

\gamma=\cos

165^{\circ}

View answer and explanation

Correct option: D

\frac{-3}{4}

Option D (-3/4) is correct because it is the coefficient of x in the polynomial after substituting the given values and simplifying.

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