SOLUTION: 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 ->  Polynomials-and-rational-expressions -> SOLUTION: 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 754493: 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 MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
let the distance be d, the speed s, and the time t
d=st...solve for t
t=d%2Fs
if the distance traveled by a car is described as d=%28x%5E3+%2B+3x%5E2+%2B+5x+%2B+3%29+mil and its rate or speed is s=%28x+%2B+1%29%28mil%2Fh%29, then


t=%28%28x%5E3+%2B+3x%5E2+%2B+5x+%2B+3%29%2F%28x+%2B+1%29%29h....factor numerator
x%5E3+%2B+3x%5E2+%2B+5x+%2B+3.....write 5x as 3x%2B2x

%28x%5E3%2Bx%5E2%29%2B%282x%5E2%2B2x%29%2B%283x%2B3%29...group

x%5E2%28x%2B1%29%2B2x%28x%2B1%29%2B3%28x%2B1%29

%281%2Bx%29%28x%5E2%2B2x%2B3%29......plug it in t=%28%28x%5E3+%2B+3x%5E2+%2B+5x+%2B+3%29%2F%28x+%2B+1%29%29h

t=%28%281%2Bx%29%28x%5E2%2B2x%2B3%29%29%2F%28x+%2B+1%29%29h....reduce

t=%28cross%28%281%2Bx%29%29%28x%5E2%2B2x%2B3%29%29%2Fcross%28%28x+%2B+1%29%29%29h

t=%28x%5E2%2B2x%2B3%29h