: Factorise x3 – 23x2 + 142x - 120.
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Answered by
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SOLUTION
TO FACTORISE
EVALUATION
For x = 1 the above expression vanishes
So x - 1 is a factor of the expression
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Solution
TO FACTORISE
x³ - 23x² + 142x - 120
EVALUATION
x³ - 23x² + 142x - 120
For x = 1 the above expression vanishes
So x - 1 is a factor of the expression
x³ - 23x² + 142x - 120
= x³ - x² - 22 x² + 22x + 120x - 120
= x²(x - 1) - 22x( x - 1) + 120(x - 1)
= (x - 1)(x² - 22x+ 120)
=(x−1)[x² −22x+120]
=(x−1)[x² −(12+10)x+120]
=(x−1)[x² −12x−10x+120]
=(x−1)[x(x−12)−10(x−12)]
=(x−1)[(x−12)(x−10)]
= (x - 1) (x - 10) (x - 12)
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