A curve C has the equation x^3 +x^2 -10x +8. Find the points at which C crosses the x axis.
Factorise: (x-2)(x+4)(x-1)
Set equal to 0: (x-2)(x+4)(x-1) = 0
Points are (2,0) (-4,0) (1,0)
WF
Related Maths A Level answers
All answers ▸Solve the pair of simultaneous equations; (1) y + 4x + 1 = 0, (2) y^2 + 5x^2 + 2x = 0 .
A curve has parametric equations: x=(t-1)^3 and y= 3t - 8/(t^2). Find dy/dx in terms of t. Then find the equation of the normal at the point on the curve where t=2.
When and how do I use the product rule for differentiation?
A circle C with centre at the point (2, –1) passes through the point A at (4, –5). Find an equation for the circle C.