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write the equation of a different polynomial function that has the same key characteristics. Explain your thinking.

write the equation of a different polynomial function that has the same key characteristics-example-1
User Jea
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1 Answer

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As given by the question

There are given that the graph of polynomial function;

Now,

From the given graph, the x-intercept is:


x=-2,\text{ -1, 0}

Then,

The equation of the given polynomial graph is:


y=(x+2)(x+1)(x-0)

Then,

From the above equation:


\begin{gathered} y=(x+2)(x+1)(x-0) \\ y=x(x+2)(x+1) \\ y=x(x^2+x+2x+2) \\ y=x^3+x^2+2x^2+2x \\ y=x^3+3x^2+2x \end{gathered}

Hence, the equation of the given graph is shown below:


y=x^3+3x^2+2x

User Ben Laan
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