2. Verify that polynomials interpolate the data p(x) = 5x³ 27x² + 45x - 21 q(x) = x¹ - 5x³+8x² − 5x+3 x 1|2|3 4 y 2 1 6 47 and explain why this does not violate the uniqueness part of the polynomial interpolation existence theorem.

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