Polynôme

On a P(x)=x^17-12x^16+12x^15-12x^14+...-12x^2+12x+1.
Calculez P(11) et P(13).
Bon courage.

P(x)=(x^17+1 ) -12(x^16+x^14+..x²)+12( x^15+x^13+...x)
=(x+1)(x^16-x^15-x^14+.....1)-12(x^16-x^15+x^14+.....+x)
P(x)=(x^16-x^15-x^14+.....-x)(x-11)+x+1
Donc :
P(11)=12

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