For function f(x) = x In x, let Xo = 1, x = 2, x =...

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For function f(x) = x² In x, let Xo = 1, x₁ = 2₁, x₂ = 3. (Round to 4 decimal places) a) Construct the Lagrange interpolation polynomial of degree two (call it P₂(x)) to approximate f(1.5). b) Also, use the error formula f (x) — P₁(x) = f(n+¹)-(x - x₂) to find the error bound for If (1.5) - P₂ (1.5)], compare this bound to the actual error of f (1.5) - P₂(1.5). For function f(x) = x² In x, let Xo = 1, x₁ = 2₁, x₂ = 3. (Round to 4 decimal places) a) Construct the Lagrange interpolation polynomial of degree two (call it P₂(x)) to approximate f(1.5). b) Also, use the error formula f (x) — P₁(x) = f(n+¹)-(x - x₂) to find the error bound for If (1.5) - P₂ (1.5)], compare this bound to the actual error of f (1.5) - P₂(1.5).