A cubic function of the y=ax^3+bx^2+cx+d

yields the following table:

a=-5

b=4

c=-1

d=0

Step-by-step explanation:

The given cubic equation is of the form;

When x=0 and y=0, we get:

when x=1 and y=-2, we get:

When x=2 and y=-26, we get:

When x=3 and y=-54, we get:

We need to solve the system:

From the top equation:

Put this expression into equation 2 and 3

also

Now we solve the system:

subtract the top equation from the down one to get:

This implies that:

and