Answer
$P(\frac{1}{4})=\frac{49}{64}$
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).
$c=\frac{1}{4}$ therefore $x-\frac{1}{4}$
Divide P(x) by $x-\frac{1}{4}$ using synthetic division to have:
