Given polynomial is
[tex]3x^5-4x^4-5x^3-8x+25[/tex]
We have to check whether the polynomial x-2 is a factor.
If x-2 is a factor then x = 2 is a root of the given polynomial.
Substitute x = 2 in the given polynomial,
[tex]\begin{gathered} 3.2^5-4.2^4-5.2^3-8.2+25=96^{}-64-40-16+25 \\ =121-120=1 \end{gathered}[/tex]
Hence 2 is not a root of given polynomial.
And so x - 2 is not a factor.
