Suppose the graph of a cubic polynomial function has the same zeroes and passes through the coordinate (0, -5). write the equation of this cubic polynomial function. recall that the zeros are (2, 0), (3, 0), and (5, 0). what is the y-intercept of this graph?

In this we know all three zeros and one point from which the graph pass.
So we will let specific cubic polynomial function of the form


As we know zeros are that point where we will get value of function equal to zero. So it is basically in form

SO in given question zeros are (2 , 0) , (3, 0) and (5,0)
So we can say

So required equation is

             
             
             
             
Now we have one point (0 , -5) from which graph passes.
So we say at x = 0 , f(x) = -5



So required equation of cubic polynomial is


For finding y - intercept we simply plugin x = 0 in given equation.
As we know at x = 0 , value of function is -5.
So y - intercept is -5.

They are somewhat similar