Step-by-step explanation:

Let's substitute the given values of x into the expression:

a. For x = 1: \(5(1)^2 - 6(1) + 1 = 5 - 6 + 1 = 0\)

b. For x = -1: \(5(-1)^2 - 6(-1) + 1 = 5 + 6 + 1 = 12\)

c. For x = 2: \(5(2)^2 - 6(2) + 1 = 20 - 12 + 1 = 9\)

d. For x = 4: \(5(4)^2 - 6(4) + 1 = 80 - 24 + 1 = 57\)

e. For x = -2: \(5(-2)^2 - 6(-2) + 1 = 20 + 12 + 1 = 33\)

So, the values are:

a. 0

b. 12

c. 9

d. 57

e. 33