Question: 2. Let P2 = (f(x) = azx2 + aix + a, and g(x) = byx? + b, x + bo]. We then define Addition: f(x)

2. Let P2 = (f(x) = azx2 + aix + a,

2. Let P2 = (f(x) = azx2 + aix + a, and g(x) = byx? + b, x + bo]. We then define Addition: f(x) = (a2 + b2)x2 + (a, + b, )x + (do + bo) Scalar multiplication: rf (x) = razx? + ra, x +rag Show that P, is a vector space. [Total: 20 Marks]

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