Dividing Polynomials: Solving Average Speed Questions in x+60 Miles Per Hour

[acuraintegra9]

If a car travels at a distance of x^3+60x^2+x+60 miles at an average speed of x+60 miles per hour, how long does the trip take??




not sure how to solve this problem either, Its in the whole chapter of dividing polynomials, so I tried dividing .. it all just basically said that it was a root?? i guess confused what to do...

 

[BlueEight]

Try reading http://www.purplemath.com/modules/polydiv2.htm"

It has a good explanation and an example.

 

[HallsofIvy]

If a car travels at a distance of x^3+60x^2+x+60 miles at an average speed of x+60 miles per hour, how long does the trip take??




not sure how to solve this problem either, Its in the whole chapter of dividing polynomials, so I tried dividing .. it all just basically said that it was a root?? i guess confused what to do...

Velocity is "distance divided by time": v= d/t so tv= d and t= d/v. Yes, you want to divide [itex]x^3+ 60x^2+ x+ 60 by x+ 60.