KVPY 2019 SA Exam Previous Papers

Question : 9 of 80

Marks: +1, -0

The number of cubic polynomials P(x) satisfying P(1) = 2, P(2) = 4, P(3) = 6, P(4) = 8 is :

Solution:

Note that

p(x) - 2x = a(x -1) (x -2) (x -3) (x -4)

since p(x) is a cubic polynomial, this is not possible

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