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IAT IISER2017MathematicsDefinite Integration

Let p be a polynomial with real coefficients such that ₀^1 p(t) d t=0 . Which of the following statements is always true?

Options

  1. Ap has no roots in the interval [0,1] .
  2. BAll roots of p lie in the interval [0,1] .
  3. Cp has exactly one root in the interval [0,1] .
  4. Dp has a root in the interval [0,1] .

Correct answer

D. p has a root in the interval [0,1] .

Step-by-step solution

No solution available.

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