Question

Click on ,begin emphasis,all,end emphasis, the factors of the polynomial.

Answer 1

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:

$(x-r)$

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:

$\begin{gathered} (x-(-3))=(x+3) \\ (x-(-1))=(x+1) \\ (x-3) \end{gathered}$Answer

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