The gradient of the tangent to the curve

at the point (1, -2) is 1.

if the curve crosses the x-axis where x=2, find the values of p, q, and r. find the other point of intersection.

Because the curve crosses the -axis at , we know the point (2, 0) lies on the curve, so that

Tangents to the curve have slope :

and at the point (1, -2), the slope is 1, so that

This also tells us the point (1, -2) is on the curve, so that

Solve for ; you should get

so the equation of the curve is

Factorizing this yields

which means is a root and the curve intersects the -axis at the point (-1, 0).

5/20 so 25%

step-by-step explanation: