If f(x)=2x^3+mx^2-13x+n and 2, 3 are the roots of the equation f(x)=0 then the value of 4m+5n is

MHT CET 2025 Mathematics question

If and 2, 3 are the roots of the equation then the value of is

Answer: (C)

Since 2 and 3 are roots, and . (1). (2). Subtract (1) from (2): , and then . Therefore , option (C).

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Question ID VK-101245