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NIELIT 2016 MAR Scientist B - Section C: 21

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A polynomial $p(x)$ is such that $p(0)=5, \: p(1)=4, \: p(2)=9$ and $p(3)=20$. The minimum degree it can have is

  1. $1$
  2. $2$
  3. $3$
  4. $4$
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We have 4 equations. Using them we can determine at least 4 variable. Hence the equation will be ax^3+bx^2+cx+d=0

Therefore the minimum degree will be 3.
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