Assignment:
Q1) Find the quotient,q(x) , and the remainder,r(x) , when 5x^3-20x^2+23x-5 is divided by x^2-3x+3.
q(x)=
r(x)=
Q2) Find the remainder when x^3-3x^2-6 is divided by x-3.
Q3) Solve the polynomial equation x^3-2x^2+3x-6=0 given that x=2 is one solution.
The SUM of all the real solutions is_______
Provide complete and step by step solution for the question and show calculations and use formulas.