Answer:
a = 2, b = 5, c = 4, and d = -2.
Explanation:
In order for the equation to be an identity, the coefficients of each degree term on both sides of the equation must be equal.
Equating the coefficients of the x³ terms, we get:
3 - c = -1
c = 4
Equating the coefficients of the x² terms, we get:
-2a + 5 = 1
a = 2
Equating the coefficients of the x terms, we get:
b - 7 = -2
b = 5
Equating the constant terms, we get:
1 - 9 = 4d
d = -2
Therefore, the values of a, b, c, and d that make the equation an identity are:
a = 2, b = 5, c = 4, and d = -2.