Let P2 denote the real vector space of polynomials in x with real coefficients and degree at most 2.
The linear transformation T: P2 → P2 is defined by T(p(x)) = xp' (x) for p(x) Є P₂.
Suppose p(x) = 9x ^ 2 + 8x - 9 and that T(p(x)) = a * x ^ 2 + bx Determine a + b.
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