Answer
The zeros of P(x) are $5, -\sqrt2, \text{ and } \sqrt2$.
Work Step by Step
RECALL:
The factor theorem states that c is a zero of P if and only if $x-c$ is a factor of P(x).
$c=5$ therefore $x-c = x-5$
Divide P(x) by $x-5$ using synthetic division to have:
