mathematical notation

Question

f(x)=-x^4+3x^2+3x-2 that is the qustion

Answer 1

As Shakespeare said, to be or not to be is the question

for this polynomial the question is roots. The root of it all.

seems to be unfactorable, but a zero somewhere between 0 and 1 and also between -1 and -2

the vertex would be half way between those x values.

While a 4th degree polynomial may potentially have 4 real roots, this seems to have 2 with 2 imaginary

It's closer to a U shaped curve, with just one turning point instead of 3