Solving the Quadratic Polynomial Puzzle: What's P(0) + Q(0)?

This article demonstrates how to solve for the sum of the values of two quadratic polynomials, P(x) and Q(x), at x=0. Given that P(x) and Q(x) have leading coefficients of 2 and -2 respectively, and both pass through points (16,54) and (20,53), the solution involves setting up a system of equations. By solving these equations, the expressions for P(x) and Q(x) are derived, ultimately leading to the calculation of P(0) + Q(0) = 116. The solution clearly shows the algebraic steps and includes repeated verification to ensure accuracy.