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Step-by-step explanation:
First, find the zeroes of the parabola
So the zeroes or where the curve crosses the x axis is at 4 and -3.
Now, we take the derivative of the function.
Plug in -3, and 4 into the derivative function
So at x=-3, our slope of the tangent line is -7 and must pass through (-3,0). So we use point slope formula.
At x=4, our slope of tangent line is 7, and pass through (4,0) so
So the equations of tangent is