Tangent Lines + Synthetic Division: L tangent to y=ax^3 +bx at x=c

[cookiesrule8]

[FONT=&quot]Suppose line L is tangent to the graph of y=ax^3 +bx at x=c, where a, b and c are constants, a cannot =0. find the x coordinate at which L intersects the graph a second time. (hint you may need to use synthetic division to solve for x). [/FONT]

[FONT=&quot]To be completely honest i have no idea where to even start with this problem.[/FONT]

 

[Deleted member 4993]

Suppose line L is tangent to the graph of y=ax^3 +bx at x=c, where a, b and c are constants, a cannot =0. find the x coordinate at which L intersects the graph a second time. (hint you may need to use synthetic division to solve for x).

To be completely honest i have no idea where to even start with this problem.

What is the relationship between the derivative of a function and the slope of tangent line?

 

[stapel]

Suppose line L is tangent to the graph of y=ax^3 +bx at x=c, where a, b and c are constants, a cannot =0. find the x coordinate at which L intersects the graph a second time. (hint you may need to use synthetic division to solve for x).

To be completely honest i have no idea where to even start with this problem.

Your subject line refers to "synthetic division". On what basis have you determined that this exercise relates to, or requires, synthetic division?

In addition to the suggestion of the previous helper, what have you done about plugging into the given equation to find the point of tangency? Thank you!