Question

How do you find all the real and complex roots of `P(x) = 2x^5 + 3x^4 + 2x^2 - 2`?

Answer 1

`-1.723, -0.827, ,0.696 and 0.182+-i1.408`. I have a break now. See Socratic graphs. I would explain all, after some time.

Explanation:

graph{2x^5+3x^4+2x^2-2 [-10, 10, -5, 5]}
graph{2x^5+3x^4+2x^2-2 [.69, .701, -.1, .1]}
graph{2x^5+3x^4+2x^2-2 [-.828,-.827, -.01, .01]}
graph{2x^5+3x^4+2x^2-2 [-1.724,-1.723, -.1, .1]}