The possible rational roots of the polynomial function will be ± 1 / 5, ± 3 / 5, ± 1 and ± 3.
The polynomial function given is:
f (x) = 5 x² - 3 x + 3
To find the rational roots of the function:
The coefficient of the highest power is 5 and the constant term is 3.
Factors of 5 are:
= 1, 5
Factors of 3 are:
= 1, 3
Possible rational roots are:
± 1 / 5, ± 3 / 5, ± 1, ± 3
Therefore, the possible rational roots of the polynomial function will be ± 1 / 5, ± 3 / 5, ± 1 and ± 3.
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