Answer :
The x - intercept of the graph is determined as (- 5.884, 0).
How to calculate the x - intercept of the graph?
The x - intercept of the graph is determined by applying the following method as shown below.
The given polynomial function;
y = - 3x⁴ - 24x³ - 45x² - 45x
To determine the x - intercept of the function, we will look for the values of x at the point where the value of y is equal to zero on the graph.
So the intercept of x occurs at the point where y = 0;
From the graph of the function (y = - 3x⁴ - 24x³ - 45x² - 45x) attached, the x - intercept of the function is determined as;
x = -5.884 or 0
In ordered pair, the x - intercept of the graph becomes (- 5.884, 0).
The graph of the function is shown in the image attached below.
