If f(x) is a polynomial of degree 4 with rational coefficients and touches x-axis at (2,0), then for the equation f(x) = 0,

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sum of roots is 42

sum of roots is 0

product of roots is -4

product of roots is 4

answer is B.

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Detailed Solution

It is given that f(x) touches x-axis at (2,0). So, two roots are 2,2.Sine coefficients are rational, other roots must be −2,−2.

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