Question

Factorise
${x}^{2} - 23 {x}^{2} + 142x - 120$
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Answer 1

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• Factorise the given polynomial.

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$\sf {x}^{3} - 23 {x}^{2} + 142x - 120$

$\sf = {x}^{3} - {x}^{2} - 22 {x}^{2} + 22x + 120x - 120$

$\sf = {x}^{2} (x - 1) - 22x(x - 1) + 120(x - 1)$

$\sf = (x - 1)( {x}^{2} - 22x + 120)$

$\sf = (x - 1)( {x}^{2} - 10x - 12x+ 120)$

$\sf = (x - 1)( x(x - 10) - 12(x - 10))$

$\sf = (x - 1)(x - 10)(x - 12)$

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• $\sf (x - 1)(x - 10)(x - 12)$

Answer 2

Step-by-step explanation:

x=0and 1

hope it's help u

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

is the answer

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