x^2-23x^2+142x-120 Factorise it
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✒ ᴀɴsᴡᴇʀ:-
⛄ (x -1) (x -10) (x -12)
✒ sᴛᴇᴘ-ʙʏ-sᴛᴇᴘ ᴇxᴘʟᴀɴᴀᴛɪᴏɴ:-
⛄ x² - 23x² + 142x - 120
= x³ - x² - 22x² + 22x + 120x -120
= x² (x -1) -22x (x -1) +120 (x -1)
= (x -1) (x² -22x + 120)
= (x -1) (x² - 10x + 12x + 120)
= (x -1) × (x [x -10] - 12 [x -10])
= (x -1) (x -10) (x -12)
[ᴛʜᴇ ʀᴇϙᴜɪʀᴇᴅ ғᴀᴄᴛᴏʀɪsᴀᴛɪᴏɴ]
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