Sketch polynomial functions using sign charts and analysis of the factored form of the polynomial function.
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Brainstorming: Graphing a Polynomial Using a Sign Chart may be helpful to provide background knowledge on how to develop a sign chart for graphing functions.
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Sketch a polynomial function with the following marked roots and that meets the conditions below.
Below is a polynomial in factored form.
$${y=-(x+1)(x+2)^2(3x)^2}$$
Chart the roots on the number line below, and identify whether the function is positive or negative at the ends and between each root.
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Below is a polynomial function with roots at $${x=1}$$, $${x=-2}$$,and $${x=0}$$.
Write a possible polynomial equation that could model this function. Explain your reasoning.