If x^ 2 -px+q, q 0, is a factor of x^ 3 -ax^ 2 +bx-c, c 0, then

JEE Advanced Mathematics question

If , is a factor of , then

Answer: (A)

The cubic is monic, so the other factor is linear and monic: . Expanding the right side: . Comparing coefficients of :

a=p+λ,

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Question ID VK-109923