Aim of the applet

Observe how changes the graph of a polynomial when its coefficients change.

Input data

With the mouse slides the points A, B, C, D, E and F to change the coefficients of the polynomial P(x)=Ax^5+Bx^4+Cx^3+Dx^2+Ex+F

Output data

The graph and the expression of the polynomial P (x).

First steps

• Starting from the polynomial of degree 5, put the coefficient "A" to 0. What is the effect on the behavior of the polynomial at infinity? Now if you put E = 0, does it change the behavior of the polynomial?
• Get a horizontal polynomial and increasing the degree of one by one. At each step, slide the greater degree coefficient, what does the graph change?
• From the graph of the polynomial, can you ensure the degree? Before answering this question, draws x ^ 2 x ^ 4.