bonjour
T(x) = (2x + 5)2 + 2x + 5
T (x) = 4 x² + 20 x + 25 + 2 x + 5
T (x) = 4 x² + 22 x + 30
a) Justifier que T(x) = (2x + 5)(2x + 5) + (2x + 5)x1.
T (x) = 4 x² + 10 x + 10 x + 25 + 2 x + 5
t (x) = 4 x² + 22 x + 30
b) En déduire que T(x) = 2(2x + 5)(x + 3).
T(x) = ( 2 x + 5 ) ( 2 x + 5 + 1 )
T (x) = ( 2 x + 5 ) ( 2 x + 6 )
T (x) = 2 ( 2 x + 5 ) ( x + 3)