Ax +a2x: a e r for i = 0, 1, 2} of polynomials of degree at most 2. let f: v-r be a linear functional such that f(1 +x) = 0, f(1- x)=0 and gate 2017 consider th

ax +a2x: a e R for i = 0, 1, 2} of polynomials of degree at most 2. Let f: V-R be a linear functional such that f(1 +x) = 0, f(1- x)=0 and GATE 2017 Consider the vector space V = {ao fx-x)=2. Then f(1 +x+x*) equals (a) 4 (b)3 (c) 2 fy T