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Sketching polynomials in factored form

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