Let T: P2 P2 be a linear transformation for which T(l + x) = 1 +

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Let T: P2 → P2 be a linear transformation for which
T(l + x) = 1 + x2, T(x + x2) = x - x2,
T(1 + x2) = 1 + x + x2
Find T(4 - x + 3x2) and T(a + bx + cx2).
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