Question

Si P(x) = 3x2 – 5x + 2. Calcular P(P(1)) + P(2)

Answer 1

Si P(x) = 3x2 – 5x + 2
P(1)= 3(1)2 - 5(1) + 2 
P(1)= 6 - 5 + 2 
P(1)= 3 

Reemplazamos P(1) = 3 

P(3) = 3x2 – 5x + 2
P(3) = 3(3)2 - 5(3) + 2 
P(3) = 18 - 15 + 2
P(3) = 5

P(2) = 3x2 – 5x + 2
P(2) = 3(2)2 - 5(2) + 2
P(2) = 12 - 10 + 2 
P(2) = 4 

P(3) + P(2) = 5 + 4 = 9