Show that if parabolic run-out conditions are used for cubic spline interpolation, then the interpolating polynomials in the first and last intervals are indeed parabolas

Find the interpolating polynomial of degree at most 2 that passes through the points (-2, 14), (1, –7), and (3, –1). Feel free to have the internet do the G.E. steps and only enter the final polynomial!

What is the maximum number of zeros (x-intercepts) that a polynomial of degree 12 can have?

A. List all the possible zeroes of the function below : 1.) 3x^3 - 10x^2 +4x + 5 2.) x^3 - 3x - 2 B. Determine the end behavior of the graph of the following polynomials 1.) 2x^3 - 5x^2 - x + 6 2.) -x^5 + 2x^4 + 5x^3 - 10x^2 -4x +8

Determine the rule for a polynomial function with rational coefficients and least possible degree that has a root at x = 1+√3, another root at x=4-√2, and passes through the point (2,-16).

3.2 (2) Divides the polynomial

Hate the dearee and leading Coerfcient Of each polynomial in ane variable 16 iH is net a in cre variaple, explain why. not a polyromial +5x+9 P(X) =-7x²+

If a third degree polynomial has a line x-intercept at x=a, discuss what this implies about the linear and quadratic factors of that polynomial