Challenging Math Question - Seeking Expert Advice

[zeenolee]

I hope this message finds you all in good spirits. I've come across a particularly tricky math problem and would greatly appreciate your expertise in solving it.

Here's the question:

Given a polynomial equation in standard form:

�
(
�
)
=
2
�
4
−
5
�
3
+
3
�
2
−
7
�
+
1
f(x)=2x
4
−5x
3
+3x
2
−7x+1

Find the roots of the polynomial and determine their multiplicities.

I've attempted various methods, but I seem to be hitting a roadblock. Any insights, hints, or step-by-step guidance would be immensely helpful.

Looking forward to your responses!

[StaceyKoprince]

Unfortunately, it looks like the formatting got messed up—it's hard to tell what the equation is. Can you try typing it in yourself using regular characters? You can use the ^ symbol to indicate an exponent (eg, x^2 means x-squared).