factoriser f(x)=(x*x*x)-11x+14



Sagot :

f(2) = 8-22+14 = 0 donc f(x) est divisible par x-2. appliquons Hörner

 

            1         0         -11        14

---------------------------------------------

2                     2            4        -14

--------------------------------------------

            1         2            -7         0

x³ -11x +14 = (x-2)(x² +2x -7) = (x-2)(x + 1 + 2rac(2))(x+1-2rac(2))