Which of the following are possible rational roots of the polynomial function?Check all that apply.F(x) = 5x²-3x+3A. +5☐ B. ±1C.OD. 20/1/2☐E. ±3SUBMITى ما look

Which of the following are possible rational roots of the polynomial functionCheck all that applyFx 5x3x3A 5 B 1COD 2012E 3SUBMITى ما look class=


Answer :

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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