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3 (x - 5 ) ( x + 8 ) = ( 3 x - 15 ) ( x + 8 )

=  3 x² + 24 x - 15 x - 120

= 3 x² + 9 x - 120

α =   - 9 / 6  

β = 3 ( - 9/6)²  +9 ( - 9 /6 ) - 120

β  = 3 * 81/36  - 81/6 - 120

β  = 243 /36 - 486/36 - 4 320/36 =  4 563 /36   = 507 / 4

3 ( x +  3/2 )² - 507 /4  est la forme canonique

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