The polynomial (ax^2+bx+c)(ax^2-dx-c), ac 0, has

JEE Advanced Mathematics question

The polynomial (ax^2+bx+c)(ax^2-dx-c), , has

(A)four real zeros
(B)at least two real zerosCorrect
(C)at most two real zeros
(D)no real zeros

Answer: (B)

Solution

Let (first factor) and (second factor). - If then , so : the first factor has two distinct real zeros. - If then : the second factor has two distinct real zeros.

So in every case at

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Question ID VK-107895