Answer:
p=30
Explanation:
Given that x-2 is a factor of f(x) where:
[tex]f(x)=4x^4-2x^3+2x^2-px+4[/tex]
We want to find the value of p.
Using synthetic division, we have the table below:
In the last column:
[tex]\begin{gathered} 56-2p+4=0 \\ 2p=56+4=60 \\ p=\frac{60}{2} \\ p=30 \end{gathered}[/tex]
The value of p is 30.
