A cubic polynomial has the form p(z)=z^3+bz^2+cz+d, z is Complex and b, c, d are Real. Given that a solution of p(z)=0 is z1=3-2i and that p(-2)=0, find the values of b, c and d.
I will explain this choice of question and demonstrate my approach of showing the most forward way to solve this in the interview.
Related Maths A Level answers
All answers ▸Using the parametric equations x=6*4^t-2 and y=3*(4^(-t))-2, Find the Cartesian equation of the curve in the form xy+ax+by=c
An object of mass 3kg is held at rest on a rough plane. The plane is inclined at 30º to the horizontal and has a coefficient of friction of 0.2. The object is released, what acceleration does the object move with?
Prove that 8 times any triangle number is always 1 less than a square number
Determine the stationary points of y=(5x^2)/(lnx)