SOLUTION: #6. If the distance traveled by a car is described as x3 + 3x2 + 5x + 3 miles and its rate or speed is x + 1 miles per hour, write a trinomial for the time traveled.

Algebra ->  Equations -> SOLUTION: #6. If the distance traveled by a car is described as x3 + 3x2 + 5x + 3 miles and its rate or speed is x + 1 miles per hour, write a trinomial for the time traveled.       Log On


   

Question 329516: #6. If the distance traveled by a car is described as x3 + 3x2 + 5x + 3 miles and its rate or speed is x + 1 miles per hour, write a trinomial for the time traveled.
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
distance = rate * time
Since we are looking for time, the formula becomes distance/rate = time.
(x^3 + 3x^2 + 5x + 3)/(x + 1) = time
To find the time, divide the top by the bottom using long division of polynomials or synthietic division.
To learn about long division, copy and paste the following link:
http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut36_longdiv.htm
To learn about synthetic division, copy and paste the following link:
http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut37_syndiv.htm

I'll let you take it from here.