JEE MATHEMATICS MCQ: THEORY OF EQUATION

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Application +4 | -1

f\left( x \right) = 2{x^3} + m{x^2} - 13x + n

and 2, 3 are roots of the equation

f\left( x \right) = 0

, then the values of

m

and

n

are

View answer and explanation

Correct option: B

- 5,30

Option A (

- 5, - 30

) is incorrect. Option B (

- 5,30

) is correct because substituting the roots 2 and 3 into the equation

f(x) = 0

yields two equations that can be solved for

m

and

n

, resulting in

m = -5

and

n = 30

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