Question

Factor completely 3x3 – 21x2 – 27x
...?

Answer 1

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 2

Given an equation:
`3x^3-21x^2-27x`

A given equation is trinomials have three terms( i.e,
`3x^3` ,
`21x^2` and
`27x` )

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.

`(3x)(x^2) - (3x)(7x) - (3x)(9)`

now, 3x can be removed from the polynomial to simplify the factoring process.

i.e,

`3x(x^2-7x-9)`

Therefore, the factor completely of
`3x^3-21x^2-27x` is,
`3x(x^2-7x-9)`