factorise x3-23x2+142x-120
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[tex] \bold \red{x^3−23x^2+142x−120}[/tex]
[tex] \bold\green{=x^3−x^2−22x^2+22x+120x−120}[/tex]
[tex] \bold \blue{=x^2(x−1)−22x(x−1)+120(x−1)}[/tex]
[tex] \bold \pink{=(x−1)(x^2−22x+120)}[/tex]
[tex] \bold \purple{{{{{{=(x−1)[x^2−10x−12x+120]}}}}}}[/tex]
[tex] \bold \green{=(x−1)[x(x−10)−12(x−10)]}[/tex]
[tex] \bold \pink{=(x−1)(x−10)(x−12)}[/tex]