Question

Find all rational zeros of the polynomial function below. f(x) = 3x\textsuperscript{3} - 7x\textsuperscript{2} - 43x + 15 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The rational zero(s) of the function is/are (Simplify your answer. Use a comma to separate answers as needed.) B. The function has no rational zeros.

          Find all rational zeros of the polynomial function below.
f(x) = 3x\textsuperscript{3} - 7x\textsuperscript{2} - 43x + 15
Select the correct choice below and, if necessary, fill in the answer box to complete your
choice.
A. The rational zero(s) of the function is/are 
(Simplify your answer. Use a comma to separate answers as needed.)
B. The function has no rational zeros.

Find all rational zeros of the polynomial function below.
f(x) = 3x3 - 7x2 - 43x + 15
Select the correct choice below and, if necessary, fill in the answer box to complete your
choice.
A. The rational zero(s) of the function is/are
(Simplify your answer. Use a comma to separate answers as needed.)
B. The function has no rational zeros.

Added by Cesar H.

Elementary and Intermediate Algebra

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

Instant Answer

Solved by Expert Donna Densmore

10/30/2024

Step 1

By the Rational Root Theorem, the possible rational zeros are of the form $\frac{p}{q}$, where $p$ is a factor of the constant term (15) and $q$ is a factor of the leading coefficient (3). The factors of 15 are $\pm 1, \pm 3, \pm 5, \pm 15$. The factors of 3 are Show more…

Show all steps

Thanks for your feedback!

Find all rational zeros of the polynomial function below. $f(x) = 3x^3 - 7x^2 - 43x + 15$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The rational zero(s) of the function is/are $\boxed{}$. (Simplify your answer. Use a comma to separate answers as needed.) B. The function has no rational zeros.