Q8) Factorise : x³-23x²+ 142x-120
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Answer:
(x-1) (x-12) (x-10)
Step-by-step explanation:
x³ - 23x² + 142x - 120
x³ - x² - 22x² +22x +120x - 120
x²(x-1) - 22x(x-1) + 120(x-1)
(x-1) (x² - 22x + 120) [Taking x-1 as common factor]
(x-1) (x² - 10x - 12x + 120) [Splitting the middle term]
(x-1) (x (x-10) - 12 (x-10))
(x-1) (x-12) (x-10)
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