Question

halla el polinomio de grado 2 si sabes que el coeficiente de x es nulo P(1)=3 y P(2)=13

Answer 1

P(x) = AX^2 + BX + C

Dato : B = 0

P(x) = AX^2 +C

P(1) = A(1)^2 + C = A + C = 3..........(1)

P(2) = A(2)^2 + C = 4A+ C = 13.......(2)

Restando (2) - (1)

3A = 10

A = 10/3

C= -1/3

P(x) = (10/3 ) X^2 - 1/3

P(x) = (10x^2- 1 )/3