Find the range of values for k given that the function f(x) = 3×2 + kx + 1 has two real roots.
Factorise and solve the equation x3 — 2×2 — 5x + 6 = 0. Sketch a graph of the function f(x) = x3 — 2×2 — 5x + 6 showing the roots clearly.
Given that (x — 1) is a factor of 4×3 — 11×2 + 10x — 3: a. Use division to find the quadratic factor. b. Solve the equation 4×3 — 11×2 + 1 Ox — 3 = 0.
