Answer:
[tex]P = 3x^2yz ( z^2-3xy+4y^2z)[/tex]
Step-by-step explanation:
Given
[tex]P = 3x^2yz^3-9x^3y^2z+12x^2y^3z^2[/tex]
Required
Write as a product of monomial and polynomial
Factor out [tex]3x^2yz[/tex] from each term
[tex]P = 3x^2yz * z^2-3x^2yz *3xy+3x^2yz *4y^2z[/tex]
Factor out [tex]3x^2yz[/tex]
[tex]P = 3x^2yz ( z^2-3xy+4y^2z)[/tex]
The above is a product of monomial and polynomial
