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

AI Thread Summary
To determine the time taken for a trip where a car travels a distance of x^3 + 60x^2 + x + 60 miles at an average speed of x + 60 miles per hour, the formula t = d/v can be applied. The distance should be divided by the speed, leading to the need to divide the polynomial x^3 + 60x^2 + x + 60 by x + 60. This division will yield the time taken for the trip. Confusion arises from the polynomial division process, which is essential for solving the problem. Understanding polynomial division is key to finding the correct solution.
acuraintegra9
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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...
 
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Try reading http://www.purplemath.com/modules/polydiv2.htm"

It has a good explanation and an example.
 
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acuraintegra9 said:
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 x^3+ 60x^2+ x+ 60 by x+ 60.
 

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