Finding Equations of Tangents and Intersection Points for y=(2x-1)(x+1)

[emmab]

additional maths help please!

My minds gone blank. How do I solve this
Find the equations of the tangents to the curve y=(2x-1)(x+1) at the points where the curve cuts the x axis. Find the point of intersection of these tangents.
Thanks
Emmab

 

[cellotim]

First find the tangent equation using differentiation, then find the points where the curve cuts the x-axis and plug in.

 

[HallsofIvy]

I would be inclined to do it the other way around! First find the x-values where the curve crosses the x-axis (y= 0 there), then find the derivative at those values of x. No real difference, of course.