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JEE MATHEMATICS MCQ: THEORY OF EQUATION

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Analyzing +4 | -1
If a,b,ca,b,c are real and x3−3b2x+2c3{x^3} - 3{b^2}x + 2{c^3} is divisible by x−ax - a and x−b,x - b, then
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Correct option: C
a=b=ca = b = c or a=−2b=−2ca = - 2b = - 2c
Option C (a=b=ca = b = c or a=−2b=−2ca = - 2b = - 2c) is correct because it satisfies the divisibility condition of the polynomial by both x−ax-a and x−bx-b.

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