Given f(x) = 2x3 + px2 + qx + 1. When f(x) is divided by x+1, the remainder is 5. When f(x) is divided by x-2, the remainder is 5. Determine p and q.

Phiwo🥺❤️, let's knock this out. Question 1.1: Given f(x) = 2x^3 + px^2 + qx + 1. When f(x) is divided by x+1, the remainder is 5. When f(x) is divided by x-2, the remainder is also 5. Determine the values of p and q. Step 1: Apply the Remainder Theorem for the first condition. According to the Remainder Theorem, if f(x) is divided by x-a, the remainder is f(a). For division by x+1, we have a = -1. The remainder