Question

For the polynomial, $f(x) = x^4 - x^2 + x + 9$, list all the possible rational zeros. $\pm 1, \pm 3, \pm 9$ $1, \frac{1}{3}, \frac{1}{9}$ $1, 3, 9$ $\pm 1, \pm 3, \pm 9, \pm \frac{1}{3}, \pm \frac{1}{9}$

Name: for the polynomial fx x4 x2 x 9 list all the possible rational zeros pm 1 pm 3 pm 9 1 frac13 frac19 1 3 9 pm 1 pm 3 pm 9 pm frac13 pm frac19 88923
Uploaded: 2020-07-01T18:22:41-08:00
Duration: 53 s
Channel: Ankit Gupta
Description: for the polynomial fx x4 x2 x 9 list all the possible rational zeros pm 1 pm 3 pm 9 1 frac13 frac19 1 3 9 pm 1 pm 3 pm 9 pm frac13 pm frac19 88923

          For the polynomial, $f(x) = x^4 - x^2 + x + 9$, list all the possible rational zeros.
$\pm 1, \pm 3, \pm 9$
$1, \frac{1}{3}, \frac{1}{9}$
$1, 3, 9$
$\pm 1, \pm 3, \pm 9, \pm \frac{1}{3}, \pm \frac{1}{9}$

$for the polynomial fx x4 x2 x 9 list all the possible rational zeros pm 1 pm 3 pm 9 1 frac13 frac19 1 3 9 pm 1 pm 3 pm 9 pm frac13 pm frac19 88923$

Added by Maria C.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Ankit Gupta

07/01/2020

Step 1

Step 1: According to the Rational Root Theorem, if a polynomial has integer coefficients, then every rational zero will have the form $\frac{p}{q}$, where $p$ is a factor of the constant term and $q$ is a factor of the leading coefficient. Show more…

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For the polynomial, $f(x) = x^4 - x^2 + x + 9$, list all the possible rational zeros. $\pm 1, \pm 3, \pm 9$ $1, \frac{1}{3}, \frac{1}{9}$ $1, 3, 9$ $\pm 1, \pm 3, \pm 9, \pm \frac{1}{3}, \pm \frac{1}{9}$