How Many Complex roots does the polynomial equation have?
3x^5-2x+1=0
A. 2
B. 3
C. 4
D. 5
3x^5 - 2x + 1 = 0
-1 is a root because 3(-1)^5 - 2(-1) + 1 = -3 + 2 + 1 = 0
Look at the graph here : https://www.desmos.com/calculator/3lxzwfyib2
The graph never intersects the x axis again...so the remaining roots are complex
WolframAlpha shows that the polynomial has 4 remaining complex roots :
https://www.wolframalpha.com/input/?i=3x%5E5%C2%A0+-+2x%C2%A0+%2B+1%C2%A0+%C2%A0+%3D%C2%A0+%C2%A00