Answer
(a) use synthetic division, we can obtain
$P(x)=(x+1)(2x^3+3x^2-3x+4)$ which shows that $-1$ is a zero.
(b) Based on the Descartes’ Rule of Signs, $P(x)$ has no sign changes meaning that it has no positive real zeros.
As $Q(x)$ is a factor of $P(x)$ as shown in (a), we conclude that $Q(x)$ has not positive real zeros.
Work Step by Step
see above.
