(a) Balance the chemical reaction below involving carbon (C), hydrogen (H), and oxygen (O). In other words, find the smallest positive integers x, y, z, w so that the reaction is balanced by setting and solving a system of linear equations. Give the balanced chemical reaction. xCO2 + yH2O zC6H12O6 + wO2. This is called the photosynthesis reaction, and C6H12O6 is glucose. (b) Given the data pairs (0, 1), (1, 149/100), (2, 21/50), (3, 1133/100), find the interpolating polynomial p(x) = r0 +r1x+r2x2 +r3x3 of degree 3 and estimate the value of y = p(x) corresponding to x = 25/10 by setting and solving a system of linear equations. You need to find the exact values of r0, r1, r2, r3