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Explanation

Let's assume that we have a polynomial p(x) with a leading coefficient a and zeros are labelled with letters r. Then its factors have the form:

[tex](x-r)[/tex]

Remember that the zeros of a function are the x-values of its x-intercepts i.e. the points where it meets with the x-axis. By looking at the picture you'll notice that the graph of the function intercepts the x-axis at three x values: -3, -1 and 3. Then the factors of this polynomial are:

[tex]\begin{gathered} (x-(-3))=(x+3) \\ (x-(-1))=(x+1) \\ (x-3) \end{gathered}[/tex]Answer

Then the correct options are (x+3), (x-3) and (x+1).

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