SOLUTION: 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? (Give your answer as a polynomial in which the

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 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? (Give your answer as a polynomial in which the       Log On


   



Question 1030145: 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?
(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.)

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
You can easily check by expansion that by expansion.
(The method I used was good old long division of polynomials.)