If 3 ( a + 2 c ) = 4 ( b + 3 d )  = 0 then the equation a x 3 + b x 2 + c x + d = 0 will have

Consider f ( x ) = 4 a x 4 + 3 b x 3 + 2 c x 2 + d x and apply Rolle's theorem

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MathematicsApplication of DerivativeMonotonicity-Rolle's-theroemMedium2 minQB

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If $3 (a + 2 c) = 4 (b + 3 d) \neq = 0$ then the equation $a x^{3} + b x^{2} + c x + d = 0$ will have

Answer:

Solution:

Consider $f (x) = \frac{a x ^{4}}{4} + \frac{b x ^{3}}{3} + \frac{c x ^{2}}{2} + d x$ and apply Rolle's theorem

Stream:JEESubject:MathematicsTopic:Application of DerivativeSubtopic:Monotonicity-Rolle's-theroem

⏱ 2mℹ️ Source: QB

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