Factorise x³ - 23x² + 142x - 120
Answers
Answered by
5
Answer:
Alternate forms:
(x - 1) (x - 10) (x - 12)
x ((x - 23) x + 142) - 120
(x - 23/3)^3 - 103/3 (x - 23/3) + 1820/27
Simplification:
(x-1)(x^2-22x+120)
(x-1)(x^2-12x-10x+120)
(x-1)[(x^2-12x)-(10x-120)]
(x-1)[x(x-12)-10(x-12)
(x-1)(x-10)(x-12)
Roots:
x=1, 10, 12
Answered by
3
Answer: 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^2-12x-10x+120)
(x-1)[(x^2-12x)-(10x-120)]
(x-1)[x(x-12)-10(x-12)
(x-1)(x-10)(x-12)
Done.Have A Good day
Step-by-step explanation:
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