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There is a polynomial which, when multiplied by \(x^2 + 2x + 3\) gives \(2x^5 + 3x^4 + 8x^3 + 8x^2 + 18x + 9\). What is that polynomial?

 

 

 

thanks and please help! i appreciate any bit of help! :)

stay safe!

 Jul 1, 2020
 #1
avatar+37153 
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Divide    x^2+ 2x + 3 into the second polynomial in your Q to find the missing poly

    you should get    2x3 -x2+4x +3

 Jul 1, 2020
 #2
avatar+738 
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thank you so much for the help! but can you show the steps to how you divided the polynomials?

lokiisnotdead  Jul 1, 2020
 #3
avatar+1262 
+2

so we get (2x^5 + 3x^4 + 8x^3 + 8x^2 + 18x + 9)/(x^2 + 2x + 3) becomes 2x^3-x^2+4x+3

 Jul 3, 2020

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