Question

factorise x cube minus 23 x square + 142 X - 120​

Answer 1

Answer:

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

Step-by-step explanation:

By trial and error we can see that x=1 is a factor of the above equation.

So, x-1 is a factor of x^3 - 23x^2 + 142x - 120

Divide the equation by (x-1)

We get the quotient: x^2 - 22x + 120

On factorising this equation, we get

(x - 10)(x - 12)

Therefore the factors of the above given cubic equation are (x - 1)(x - 10)(x - 12)

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