One of the factors of the polynomial x3 − 5x2 is x + 3. What is the other factor?

Question

mathmale · Answer

You could answer this by dividing the polynomial by x+3, OR through the use of synthetic division, whichever is easier.  I'd take synthetic div. any day.

If you happen to know synth. div., here's the setup derived from    x3 − 5x2,     x + 3:

    
     -3  /  1   -5   0   0   

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mathmale · Answer

Notes:  Please type "cube root of x" as x^3, not as x3.  "Square of x" should be x^2.

mathmale · Answer

Notes:  I've tried this synthetic div. myself and find that I obtain a remainder.  Obtaining a remainder indicates that (x+3) is not a factor of x^3-5x^2.   double check that you have copied down this problem correctly, please.