Réponse :
bonjour
f ( x ) = 9 x² - 12 x + 4
f ( x) = ( 3 x - 2 )²
g (x) = 9 x² - 12 x + 4 + ( 3 x - 2 ) ( x + 8 )
forme développée
= 9 x² - 12 x + 4 + 3 x² + 24 x - 2 x - 16
= 12 x² + 10 x - 12
forme factorisée
g (x) = ( 3 x - 2 )² + 4 + ( 3 x - 2 ) ( x + 8 )
g (x) = ( 3 x - 2 ) ( 3 x - 2 + 4 + x + 8 )
g ( x) = ( 3 x - 2 ) ( 4 x + 10 )
h (x) = 9 x² - 12 x + 4 - ( 2 x + 1 )²
h ( x) = 9 x² - 12 x + 4 - ( 4 x² + 4 x + 1 )
h ( x) = 9 x² - 12 x + 4 - 4 x² - 4 x - 1
h ( x) = 5 x² - 16 x + 3
h (x) = ( 3 x - 2 )² - ( 2 x + 1 )²
h (x) = ( 3 x - 2 + 2 x + 1 ) ( 3 x - 2 - 2 x - 1 )
h (x) = ( 5 x - 1 ) ( x - 3 )
f (0) = ( - 2 )² = 4
f (x) = 4
( 3 x - 2 )² = 4
( 3 x - 2 )² - 4 = 0
( 3 x - 2 - 2 ) ( 3 x - 2 + 2 ) = 0
3 x ( 3 x - 4 ) = 0
x = 0 ou 4/3
g (x) = 0
( 3 x - 2 ) ( 4 x + 10 ) = 0
x = 2/3 ou - 5 /2
g (x) = - 12
tu fais pareil , tu poses l'équation
h (x) = 3 = idem
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