Question

If (x-2) is a factor f f(x), then use synthetic divisor to find p where f(x)=

Answer 1

Answer:

p=30

Explanation:

Given that x-2 is a factor of f(x) where:

$f(x)=4x^4-2x^3+2x^2-px+4$

We want to find the value of p.

Using synthetic division, we have the table below:

In the last column:

$\begin{gathered} 56-2p+4=0 \\ 2p=56+4=60 \\ p=\frac{60}{2} \\ p=30 \end{gathered}$

The value of p is 30.