Answer:
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,\(3x(x^2-7x-9)\)
