The x-intercepts of a graph are the points where the graph crosses the x-axis.
The x-intercepts are: [tex]\mathbf{x = ,-\frac83, \frac 35\ and\ 1}[/tex]
The function is given as:
[tex]\mathbf{y = (3x + 8)(5x - 3)(x - 1)}[/tex]
First, we plot the graph of [tex]\mathbf{y = (3x + 8)(5x - 3)(x - 1)}[/tex]
See attachment for the graph
Next, write out the x-values when the graph crosses the x-axis.
From the graph, we have:
[tex]\mathbf{x = -\frac 83}[/tex]
[tex]\mathbf{x = \frac 35}[/tex]
[tex]\mathbf{x = 1}[/tex]
Hence, the x-intercepts are: [tex]\mathbf{x = ,-\frac83, \frac 35\ and\ 1}[/tex]
Read more about x intercepts at:
https://brainly.com/question/14180189
