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Rewrite the Polynomial as a product of the monomial and the polynomial 3x^2yz^3-9x^3y^2z+12x^2y^3z^2 I WILL AWARD BRAINLIEST

Sagot :

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