Question 130123
Let's use the formula {{{d=r*t}}}


{{{d=r*t}}} Start with the given formula



{{{5x^3 - 6x^2+3x+14=(x+1)*t}}} Plug in {{{d=5x^3 - 6x^2+3x+14}}} and {{{r=x+1}}}



{{{(5x^3 - 6x^2+3x+14)/(x+1)=t}}} Divide both sides by {{{x+1}}}



{{{((x+1)(5x^2 - 11x + 14))/(x+1)=t}}} Factor {{{5x^3 - 6x^2+3x+14}}} to get {{{(x+1)(5x^2 - 11x + 14)}}} (note: you can use a graphing calculator to help you do this)



{{{(cross(x+1)(5x^2 - 11x + 14))/cross(x+1)=t}}} Cancel like terms



{{{5x^2 - 11x + 14=t}}} Simplify



So the time is 


{{{t=5x^2 - 11x + 14}}}