Answer:
[tex](5p^2+3)(p-2)[/tex]
Step-by-step explanation:
In this problem, we need to write the factor form of expression [tex]5p^3-10p^2+3p-6[/tex].
It can be done as follows :
[tex]5p^3-10p^2+3p-6=(5p^3+3p)+(-10p^2-6)[/tex]
Taking common form the terms as follows :
[tex]=p(5p^2+3)-2(5p^2+3)[/tex]
It can be also written as :
[tex]=(5p^2+3)(p-2)[/tex]
Hence, the factored form of [tex]5p^3-10p^2+3p-6[/tex] is [tex](5p^2+3)(p-2)[/tex]
