Respuesta:
To find the values of a, b, and c for the polynomial P(x) to be identically equal to zero, we equate the corresponding coefficients of the like terms in both polynomials.
Steps to solve:
* Equate the coefficients of x² terms:
(a - 2) - 8 = 0
a - 10 = 0
a = 10
* Equate the coefficients of x terms:
b - 6 = 0
b = 6
* Equate the constant terms:
c + 5 - 12 = 0
c - 7 = 0
c = 7
Therefore, the values for a, b, and c are:
a = 10
b = 6
c = 7
