I have to tackle a question related with roots of polynomial function. The graph of the polynomial is shown below:
(A)explain why, of the four roots of the equation f(x)=o, two are real and two are complex
I found I am a little bit messy with the concepts.....when f(x)=0, the two real roots are 2 and -4, how can I find the complex roots from the graph??
(B)The curve passes though the point (-1,-18). Find f(x) in the form (x)=(x-a)(x-b)(x^2+cx+d), were a, b, c, d belongs to Z
This question is simple, I put in 2,-4, and -32 to be a,b,c, and then plug in (-1,-18), and found that c=-33
(C)Find the two complex roots of the equation f(x)=0 in Cartesian form (D)express each of the four roots of the equation in the Euler’s form
Again, I know Cartesian form and euler’s form,but how can I find the complex roots?
Hope someone can help me ! Thanks!!