Question

Problem complex number question

Answer 1

Three of the roots of the equation
\[ax ^{5}+bx ^{4}+c x^{3}+dx ^{2}+ex+f = 0\]
are -2, 2i and 1+i.
Find the values of a, b, c, d, e and f

Answer 2

Remember, for any polynomial eqn like this, with real coefficients,
if a+ib is a root, then a-ib is also a root.
This should help you.

Answer 3

(x+2)(x-1-i)(x-1+i)(x-2i)(x+2i)
iff a,c,d,e,f are real
you can multiply them
notice "shubhamsrg" hint