Q.
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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a
sum of roots is 42
b
sum of roots is 0
c
product of roots is -4
d
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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