Question

7. What are the x-intercepts of the graph of y = (3x +8)(5x - 3)(x - 1)?

Answer 1

Answer:

y = 15x^3 + 16x^2 - 55x + 24

Step-by-step explanation:

y = (3x +8)(5x - 3)(x - 1)

y = (15x^2 - 9x + 40x -24) * (x - 1)

y = (15x^2 + 31x - 24) * (x-1)

y = 15x^3 - 15x^2 + 31x^2 - 31x - 24x + 24

Answer 2

The x-intercepts of a graph are the points where the graph crosses the x-axis.

The x-intercepts are: $\mathbf{x = ,-\frac83, \frac 35\ and\ 1}$

The function is given as:

$\mathbf{y = (3x + 8)(5x - 3)(x - 1)}$

First, we plot the graph of $\mathbf{y = (3x + 8)(5x - 3)(x - 1)}$

See attachment for the graph

Next, write out the x-values when the graph crosses the x-axis.

From the graph, we have:

$\mathbf{x = -\frac 83}$

$\mathbf{x = \frac 35}$

$\mathbf{x = 1}$

Hence, the x-intercepts are: $\mathbf{x = ,-\frac83, \frac 35\ and\ 1}$

Read more about x intercepts at:

https://brainly.com/question/14180189