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Suppose that $f$ is a polynomial such that \[(x^2-1)\cdot f(x)=5x^6-x^5+3x^4+x^3 - 25x^2 +38x -17.\] What is the degree of $f$?

Guest Dec 7, 2014

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 #1
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f must be degree 4.  Since it would contain an x^4 term, when this is multiplied by the x^2 term in the first expression, the result would be a 6th degree polynomial.

 

 

CPhill  Dec 7, 2014
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1+0 Answers

 #1
avatar+81055 
+5
Best Answer

f must be degree 4.  Since it would contain an x^4 term, when this is multiplied by the x^2 term in the first expression, the result would be a 6th degree polynomial.

 

 

CPhill  Dec 7, 2014

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