1. Let V = P₂(x) and define < f,g >= 2f (0)g(0) + f(1)g(1) +3f (2)g(2). (a) Prove that this is an inner product (You may use the fact that a quadratic poly- nomial with three roots must be zero).

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A: Given that 8x-(x-4)=2(x-8). Solve for x in the above equation. We have that 8x-x+4=2x-16.

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