Answer:
[tex]3p(2p^2-4p+3)[/tex]
Step-by-step explanation:
Given polynomial:
[tex]6p^3-12p^2+9p[/tex]
To factor out the polynomial completely.
Solution:
Factoring the given polynomial by first factoring the GCF.
The GCF can be found by listing the factors of each term.
[tex]6p^3=2\times 3\times p\times p\times p[/tex]
[tex]-12p^2=-1\times 2\times 2\times 3\times p\times p[/tex]
[tex]9p=3\times 3\times p[/tex]
Thus , the GCF of the terms is = [tex]3p[/tex]
Factoring [tex]3p[/tex] from each term.
[tex]3p(2p^2-4p+3)[/tex] (Answer)
The above expression cannot be factored any further.
