Math Problem Solver

The theorem is"Given n + 1 distinct data,

there exists a unique polynomial p(x) of degree ≤ n that interpolates them.

" answer “Consider a set of 4 data as points in the plane, sampled from a polynomial of degree 4. Then the

interpolation with a single polynomial yields:

⃝ a quadratic non-polynomial function

⃝ a quadratic polynomial

⃝ a quartic polynomial

⃝ a parabola

⃝ a cubic polynomial.”

More options can be correct