The graph which could be the graph of the polynomial f(x) with roots -8, -5, 1, and 2 is;
Graph 4.
We are given;
Root of polynomial = 4. This means that the polynomial f(x) has 4 roots.
Now, when f(x) = 0 , we are told that the 4 roots are;
x = -8
x = -5
x = 1
x = 2
- Now, the roots of a polynomial on a graph are the points where the graph curve crosses the x - axis which are called the x-intercepts.
- Looking at all the given graphs, the only one that crosses the x-axis at the points x = -8, x = -5, x = 1 and x = 2 is the last graph which is Graph 4.
- In conclusion, the graph of the polynomial f(x) with roots -8, -5, 1, and 2 is Graph 4.
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