For the complex polynomial $z^3 -5z^2 +(7-2i)z +6i-3 = 0 $
$1)$ show that $2+i $ is a root.
$2)$ solve the given equation.
Attemp to solve: I'm not really sure how to solve this, but I considered using Vietes formulas to comstruct a system of equations with two unknowns, and from there to cacluate the roots.....I'm not sure how to do No. 1 though...
help with this would be appricated...