The graph of the function has zeros of 0 and 3, two distinct real zeros, and no complex zeros.
What is a function?
It is defined as a special type of relationship and they have a predefined domain and range according to the function.
We have a function:
[tex]\rm y= x^2(x^2 - 6x + 9)[/tex]
We can write it as a:
[tex]\rm y= x^2(x^2 - 2(3)(x)+ 3^2)[/tex]
[tex]\rm y = x^2(x-3)^2[/tex]
To find the zeros equate to the function with the zero.
y = 0
[tex]\rm x^2(x-3)^2=0[/tex]
First, take [tex]\rm x^2= 0[/tex] we get:
x = 0
Now
[tex]\rm (x-3)^2=0[/tex]
x - 3 = 0
x = 3
Thus, the graph of the function has zeros of 0 and 3, two distinct real zeros, and no complex zeros.
Learn more about the function here:
brainly.com/question/5245372
