Answer :
Find their Greatest Common Multiple (GCM) which is 3x. Divide it to each terms, Wherein the 1st term is 3x^3, then the 2nd term is 21x^2, and lastly the 3rd term is 27x. You'll arrive at the answer of 3x(x^2-7x-9).
Answer:
Given an equation: [tex]3x^3-21x^2-27x[/tex]
A given equation is trinomials have three terms( i.e, [tex]3x^3[/tex] , [tex]21x^2[/tex] and [tex]27x[/tex] )
Factoring is the division of the polynomial terms to the simplest forms.
A greatest common factor (GCF) identifies a factor that all terms within the polynomial have in common.
[tex](3x)(x^2) - (3x)(7x) - (3x)(9)[/tex]
now, 3x can be removed from the polynomial to simplify the factoring process.
i.e,
[tex]3x(x^2-7x-9)[/tex]
Therefore, the factor completely of [tex]3x^3-21x^2-27x[/tex] is,[tex]3x(x^2-7x-9)[/tex]