This worksheet allows you to sketch a polynomial in factored form. Adjust the coefficient, factors and powers of each factor using the sliders.

How do the factors relate to the appearance of the graph?[br]What effect does changing the coefficient have?[br]What about the sign of the leading term and whether or not the degree of the polynomial is odd or even?[br][br]Hide the sliders and graph and see if you can get someone to guess the equation of P(x).