The rational roots of the polynomial given in the question are -4/5 and 3/4.
Given-
Given polynomial function is,

The given polynomial function has the four-degree equation in which the greatest power of the variable is four. Suppose one root of <em>x </em>is 1 to solve it further. So one factor is,

Rewrite the given equation,





On the factor above equation, we get.
](https://tex.z-dn.net/?f=%5B4%285x%5E2-3%29%2Bx%5D%28x%5E2%2B1%29)
](https://tex.z-dn.net/?f=%5B20x%5E2-12%2Bx%5D%28x%5E2%2B1%29)
On the factor, we get,


Hence, the rational roots of the polynomial given in the question are -4/5 and 3/4.
For more about the polynomial, follow the link below-
brainly.com/question/17822016
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♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>
➷ No it isn't. An irrational number cannot be expressed as a fraction. An example of an irrational number is pi.
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➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
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