Shashank posted an Question
September 12, 2020 • 19:41 pm 30 points
  • IIT JAM
  • Mathematics (MA)

If px) is polynomial and k e r, prove that between any two real roots of p(x) =0, there is a roots of p'(x)+ k p(x) = 0. ex.

if px) is polynomial and k e R, prove that between any two real roots of p(x) =0, there is a roots of p'(x)+ k p(x) = 0. Ex.

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    Deepak singh 1

    if any doubt then ask

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    how to know that we need to take f(x) = e^kx × p(x)

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    by observing..and practice..

  • comment-profile-img>
    Deepak singh 1 best-answer

    see attached proof

    cropped7713307447330127170.jpg
    cropped9046254985246325452.jpg
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    how to know that we need to take f(x) = e^kx × p(x)

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    its proof , you can take any f(x) which can prove it...

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    if you do more practice of real analysis , you can determine which f(x) should be taken here...

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