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2014-08-02T18:49:18+05:30

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We may use terms with x raised to 15 and go on until  x raised to power 1
Each term consists of  a + or - ,  a coefficient ,  x raised to some power

  x^ 15 + a x^14 - b x^13 + c x^12 - 14 x^11 - x^10 + x^9 - 8 x^8
                          + 99 x&7 - x^6  - x^5 + 3 x^4 + 2 x^2  - x + 45

   we can expand    (x + 1)^14          then we get 15 terms
     we can expand (x+1)^15  then we get 16 terms but there are 15 terms with variable x.                                     
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is the above polynomial form you are looking for ? what is it u looking for?
2014-08-02T19:10:34+05:30

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Polynomial with 15 terms in variable

97 x^15 10x^14 + 19 x^13 - 20 x^12 + 18 x^11 - 12 x^10 + 17 x^9 + 21 x^8 - 23 x^7 +
 13 x^6 + 99 x^5 - 39 x^4 + 13 x^3 - 12 x^2 +134 x 
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