Consider the set S = {x² + 1, 2x − 2, − x² + x}. The set S spans P2. If t(x) = = 2x² 16x + 10 € P₂, then t can be written as a linear combination of elements of S. That is, t(x) = a. Determine a, b, and c a = — (x² +1) + b ⋅ (2x − 2) + c · (–x² + x). b - C =

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