(A) Use Only a Graphical Method to Find the Real $x^{5}-3 x^{4}-5 x^{3}+6 x^{2}+2 x+3=0$

Short Answer

(a) Use only a graphical method to find the real solutions of $x^{5}-3 x^{4}-5 x^{3}+6 x^{2}+2 x+3=0$ .
(b) Based on your answer in part (a), how many nonreal (complex) solutions does the equation have?