Question 1128202
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{{{graph( 330, 330, -3, 3, -10, 10,
          2x^4-5x^3+10x^2-9
)}}}


Plot y = {{{2x^4-5x^3+10x^2-9}}}



I used this online solver specially designed to find polynomial roots (zeroes)

https://www.mathportal.org/calculators/polynomials-solvers/polynomial-roots-calculator.php


                 <U>BELOW IS WHAT THE SOLVER produced:</U>


The roots of the polynomial 2x4&#8722;5x3+10x2&#8722;9 are:

x1=1.14223
x2=&#8722;0.77304
x3=1.06541+1.99028&#8727;i
x4=1.06541&#8722;1.99028&#8727;i


Explanation

This polynomial has no rational roots that can be found using Rational Root Test.

Roots were found using quartic formulas (opens new window)
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If you want more information, go directly to that website and explore it.
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Good luck !