Des exercices sur les formes canoniques.

Forme_canonique_d_un_trin_me

Forme_Canonique__Factoris_e__D_velopp_e

ax%B2+bx+c%20=%20a%20(%20x+\frac{b}{a}\*x+\frac{c}{a}\%20)%20\\%20%20\\%20=%20a((%20x+\frac{b}{2a}\%20)^2%20-%20\frac{b^2}{4a^2}\%20+%20\frac{c}{a}\))%20\\%20%20\\%20=%20a((%20x+\frac{b}{2a}\%20)^2%20-%20\frac{b^2-4ac}{4a^2}\))%20\\%20%20\\%20=%20a(%20x+\frac{b}{2a}\%20)^2%20-%20\frac{b^2-4ac}{4a}\)%20\\%20%20\\%20=%20a(x%20-%20\alpha)^2%20+%20\beta%20\\%20%20\\

Des exercices pour manipuler les formes canoniques:

exos_corriges

 

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