Answer
$P(\frac{2}{3})=\frac{7}{3}$
Work Step by Step
RECALL:
The remainder theorem states that if the polynomial P(x) is divided by $x-c$, then the remainder is the value of P(c).
$c=\frac{2}{3}$ therefore $x-c = x-\frac{2}{3}$
Divide P(x) by $x-\frac{2}{3}$ using synthetic division to have:
