A non-zero polynomial ݂\(f(x)\) of degree 3 has roots at \(x = 1 , x = 2\) and…

GATE · 2014 · CS · Set 2 · Computer Science & IT

A non-zero polynomial ݂f(x)f(x) of degree 3 has roots at x=1,x=2x = 1 , x = 2 and x=3x = 3 Which one of the following must be TRUE?

  1. A.

    f(0)f(4)<0f(0)f(4)< 0

  2. B.

    f(0)f(4)>0f(0)f(4)> 0

  3. C.

    f(0)+f(4)>0f(0)+f(4)> 0

  4. D.

    f(0)+f(4)<0f(0)+f(4)< 0

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