Question

please find this answer ​

Answer 1

Answer:

( x - 1) (x - 10 ) (x - 12 )

Step-by-step explanation:

Given equation is ,

x^3 - 23x^2 + 142x - 120

= x^3 - (22x^2 + x^2) + (120x + 22x) - 120

=x^3 - 22x^2 -x^2 +120x + 22x - 120

=x^3 - x^2 - 22x^2 + 22x + 120x - 120

=x^2(x - 1) - 22x(x - 1) +120(x - 1)

=(x - 1)(x^2 - 22x + 120)

=(x - 1)(x^2 - 10x - 12x + 120)

=(x - 1){ x(x - 10) - 12(x - 10 )

=(x - 1)(x -10)(x -12).

May it helps you.