Question

Factorise completely xcube minus23xsquare + 142x-120​

Answer 1

Answer:

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Step-by-step explanation:

x³ - 23x² + 142x - 120

try first x = 1

1 - 23 + 142 - 120 = 0

So it worked

So (x-1) is one factor of x³ - 23x² + 142x - 120. Now do long division method to find other factors

See image

Now we got x²  - 22x + 120  

= x² - 10x - 12x -+ 120  

=   x (x - 10) - 12(x - 120)  

=  (x- 10) (x - 12)

S0 answer is (x-1) (x-10) (x-12)