Math Problem Statement

P_1 (x)=3.51×(x-0.30)(x-0.78)(x-1.57)(x-2.09)/(0.00-0.30)(0.00-0.78)(0.00-1.57)(0.00-2.09) +3.97×(x-0.00)(x-0.78)(x-1.57)(x-2.09)/(0.30-0.00)(0.30-0.78)(0.30-1.57)(0.30-2.09) +4.19×(x-0.00)(x-0.30)(x-1.57)(x-2.09)/(0.78-0.00)(0.78-0.30)(0.78-1.57)(0.78-2.09) +3.97×(x-0.00)(x-0.30)(x-0.78)(x-2.09)/(1.57-0.00)(1.57-0.30)(1.57-0.78)(1.57-2.09) +3.57×((x-0.00)(x-0.30)(x-0.78)(x-1.57))/((2.09-0.00)(2.09-0.30)(2.09-0.78)(2.09-1.57)) fund the polynomial

Solution

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Math Problem Analysis

Mathematical Concepts

Lagrange Interpolation
Polynomial Approximation

Formulas

P(x) = Σ(y_i * Π((x - x_j) / (x_i - x_j))), j ≠ i

Theorems

Lagrange Interpolation Theorem

Suitable Grade Level

Grades 11-12 or Undergraduate