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Prove that there exists 3 numbers $a,b,c$ so that $P(a)=b, P(b)=c, P(c)=a$
algebra-precalculus
polynomials
lagrange-interpolation
Newton form vs. Lagrange form for interpolating polynomials
computational-complexity
interpolation
computational-mathematics
lagrange-interpolation
Show $P(z) $ is a polynomial of degree $n-1$ interpolating an Analytic function.
calculus
complex-analysis
analysis
interpolation
lagrange-interpolation
Show that the sum of Lagrange Polynomials $\sum_{i=0}^{n} L_{i}(t)=1 \quad \forall t \in R$ [duplicate]
numerical-methods
interpolation
orthogonal-polynomials
lagrange-interpolation
Sum of Lagrange polynomials: $\sum_{i=0}^{n}L_i(0)x_i^{n+1} = (-1)^{n}x_0\cdot\cdots\cdot x_n $.
polynomials
numerical-methods
lagrange-interpolation
Constructing a cubic given four points
polynomials
systems-of-equations
interpolation
lagrange-interpolation
Lagrange interpolation at 0's
lagrange-interpolation
Determine the remainder when $f(x) = 3x^5 - 5x^2 + 4x + 1$ is divided by $(x-1)(x+2)$
abstract-algebra
polynomials
ring-theory
chinese-remainder-theorem
lagrange-interpolation
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