Most Important Selected Qs for JEE AdvancedMathematicsQuadratic Equation

Let P(x)=x^3-8 x^2+c x+d be a polynomial with real coefficients and with all its roots being distinct positive integers. The possible value of 'c' can be

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Correct answer

D. 19

Step-by-step solution

We have x₁+x₂+x₃=8 aligned & x₁ x₂ x₃=d & x₁ x₂+x₂ x₃+x₃ x₁=c aligned Possible zeroes 1,2,5 or 1,3,4 array ll & d=10 or d=12 & c=2+10+5=17 array or 3+12+4=19 Hence d=10 and c=17 or d =12 and c =19

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