1. Programme 1 :
A) (-1-1)²×4-1 = 15
B) (0-1)²×4-1 = 3
C) (1-1)²×4-1 = - 1
D) (2-1)²×4-1 = 3
Programme 2 :
A) - 1×2-1 = - 3
- 1×2-3 = - 5
-3×(-5) = 15
B) 0×2-1 = - 1
0×2-3 = - 3
-1×(-3) = 3
C) 1×2-1 = 1
1×2-3 = - 1
1×(-1) = - 1
D) 2×2-1 = 3
2×2-3 = 1
3×1 = 3
2.a) Les deux programmes donnent les mêmes résultats.
b) on choisit X comme nombre de départ
Programme 1 : (X - 1)²×4-1 = 4X²-3
Programme 2 :
X×2-1 = 2X-1
X×2-3 = 2X-3
(2X-1)×(2X-3) = 4X²-3
