Chapitre 1 Flashcards

1
Q

fonction polynôme du second degré
(forme développée)

A

f (x) = ax² +bx +c

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2
Q

équation du second degré à une inconnue

A

ax² +bx +c = 0

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3
Q

f (x) = ax² +bx +c

A

fonction polynôme du second degré
(forme développée)

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4
Q

ax² +bx +c = 0

A

équation du second degré à une inconnue

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5
Q

3 formes de la fonction polynôme du second degré

A

-forme développée
-forme canonique
-forme factorisée

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6
Q

trinôme du second degré

A

ax² + bx + c

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7
Q

discriminant

A

∆ = b² −4ac

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8
Q

ax² + bx + c

A

trinôme du second degré

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9
Q

∆ = b² −4ac

A

discriminant

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10
Q

∆ < 0

A

pas de solution réelle

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11
Q

∆ = 0

A

: x0 = −b / 2a

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12
Q

∆ > 0

A

x1 = −b − racine carrée ∆ / 2a
et
x2 =−b + racine carrée ∆ / 2a

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13
Q

forme factorisée

A

f (x) = a(x − x1)(x − x2)

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14
Q

(factorisation) ∆ > 0

A

f (x) = a(x − x1)(x − x2) deux racines x1 et x2

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15
Q

(factorisation) ∆ = 0

A

f (x)= a(x − x0)² x0 est la racine double

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16
Q

(factorisation) ∆ < 0

A

pas factorisable pas de racine

17
Q

x1 + x2

A

−b / a

18
Q

x1 * x2

A

c / a