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There is a polynomial which, when multiplied by x^2 + 2x + 3, gives 2x^5 + 3x^4 + 7x^3 + 6x^2 + 15x + 9. What is that polynomial? (Give your answer as a polynomial in which the terms appear in order of decreasing degree. In other words, "x^5 + x + 2" is a valid answer, but "2 + x^5 + x" is not.)

 Jun 13, 2021
 #1
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Divide  x^2 + 2x + 3    into     2x^5 + 3x^4 + 7x^3 + 6x^2 + 15x + 9   to get:

 

2x3 - x^2 +3x + 3

 Jun 13, 2021

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