Graphing Polynomial Functions
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Let's assume
'a' , 'b' are zeros
so, we will find total zeros from graph
We can curve touches x-axis
Let's assume it touches at x=b
so, there would be two zeros at x=b
it also crosses origin
so, another zero is at x=0
it crosses x-axis one more time
Let's assume that zeros at x=a
so, we have got four zeros
x=a,0,b,b
now, we can set up function
[tex]f(x)=(x-0)(x-a)(x-b)(x-b)[/tex]
we can also write as
[tex]f(x)=x(x-a)(x-b)^2[/tex].................Answer