Question

x cube - 23 x square + 142x- 120

Answer 1

Answer:

(x-1) (x-10) (x-12)

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

             x²     -      22x         +          120        

x - 1  ∫  x³   -   23x²   +   142x    -   120

         - x³   -      ⁻ x²  

                  -    22x²  +  142x

                  -   ⁻22x²   -   22x  

                                      120x  -  120

                                      120x  - ⁻ 120  

                                                        0

Now we got x²  - 22x + 120   = x² - 10x - 12x -+ 120  =   x (x - 10) - 12(x - 120)

(x- 10) (x - 12)

(x-1) (x-10) (x-12)

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Answer 2

Answer:

Step-by-step explanation:

Hope it helps

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