f(x) = (-x - 1)2 + ( 3 + 2x) ( x +1 )
Mathématiques
motflo95
Question
f(x) = (-x - 1)2 + ( 3 + 2x) ( x +1 )
2 Réponse
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1. Réponse Anonyme
F(x) = (- x - 1)² + (3 + 2x)(x + 1)
= x² + 2x + 1 + 3x + 3 + 2x² + 2x
= 3x² + 7x + 4 -
2. Réponse extremum
F(x) = (-x - 1 )² + ( 3 + 2 x ) ( x + 1 )
= (-x)² - 2 × (-x) × 1 + 1² + 3 × x + 3 × 1 + 2 x × x + 2 x × 1
= x² - (-2x) + 1 + 3 x + 3 + 2 x² + 2 x
= x² + 2x + 1 + 3x + 3 + 2 x² + 2x
= x² + 1 + 3 + 2 x² + 2x + 2x + 3x
= 3x² + 4 + 7x
= 3x² + 7x + 4