## College Algebra 7th Edition

$a.\displaystyle \quad\pm 1,\pm\frac{1}{5}$ . $b.\displaystyle \quad-1,\frac{1}{5},$ and $1$
Rational Zeros Theorem$:$ $...$every rational zero of $P(x)$ is of the form $\displaystyle \frac{p}{q}$ where $p$ and $q$ are integers and $p$ is a factor of the constant coefficient $a_{0}$ $q$ is a factor of the leading coefficient $a_{n}$ --- $a.$ $P(x)=5x^{3}-x^{2}-5x+1$ candidates for p: $\pm 1,$ candidates for q: $\pm 1,\pm 5$ Possible rational zeros $\displaystyle \frac{p}{q}:\quad$$\displaystyle \pm 1,\pm\frac{1}{5}$ . $b.$ From the graph, the actual zeroes are $-1,\displaystyle \frac{1}{5},$ and $1.$