List all Df the possible rational zeroes for f(x)=2x^8-3x^6+8x^5-5x+6

Karley Castillo

Karley Castillo

Answered question

2022-11-11

List all Df the possible rational zeroes for f ( x ) = 2 x 8 3 x 6 + 8 x 5 5 x + 6

Answer & Explanation

Arely Davila

Arely Davila

Beginner2022-11-12Added 17 answers

f ( x ) = 2 x 8 3 x 6 + 8 x 5 5 x + 6
By the rational rods theorem any rational zeros of f(x) are expressible in the form p q for integers p,q with 'p' a divisor of the constant term 6 and 'q' a divisor of the coefficient 2 of the loading term.
+ p + q = ± 6 ± 2 = ± 6 , ± 3 , ± 2 , ± 1 ± 2 ± 1 p q = ± 6 ± 2 ; ± 6 ± 1 ; ± 3 ± 2 ; ± 3 1 ; ± 2 2 ± 1 2 ± 1 1 = ± 3 ; ± 6 ; 3 2 ; ± 3 ; ± 1 ; ± 2 ; ± 1 2 ; ± 1
All positive p q = ± 1 ; ± 2 ; ± 3 ; ± 6 ; ± 1 2 ; ± 3 2 rational zeros.

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