Find a Polynomial Given its Zeros and a Point

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Solve each step below then click on "Show me" to check your answer. There is a graph at the bottom of the page that helps you further understand the solution to the question show below.

Step by step solution






















Graphical Meaning of Solution



Below is shown the graph of the polynomial $P$ in green and in red are shown the y intercept and the 3 zeros (x-intercepts on the graph) and the given point. As an exercise, select points on the graph and use the standard form of the polynomial to check, by calculations, that these points are on the graph of $P$.(Change scales if necessary)


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