JEE MATHEMATICS MCQ: THEORY OF EQUATION

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Analyzing +4 | -1

f\left( x \right) = {x^{5 + }}{x^2} + 1

has roots

{x_1},{x_2},{x_3},{x_4},{x_5}andg\left( x \right) = {x^2} - 2

then

g({x_1})g({x_2})g({x_3})g({x_4})g({x_5}) - 30g\left( {{x_1}{x_2}{x_3}{x_4}{x_5}} \right) = \_\_\_\_\_\_\_\_\_

View answer and explanation

Correct option: C

Option C (7) is correct because it involves finding the product of g(x) evaluated at the roots of f(x) and using Vieta's formulas.

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