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Graph the polynomial function. Factor first if the expression is not in factored form. f(x)=x^2(x-3)(x+3)^2 [Answer on phone 3.4 homework #8

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Final answer:

The given polynomial function is already in factored form. We can plot the graph by identifying the roots and their multiplicities.

Step-by-step explanation:

The given polynomial function is already in factored form. We can plot the graph by identifying the roots and their multiplicities.

The roots are:

  • x = 0 (with multiplicity 2)
  • x = 3 (with multiplicity 1)
  • x = -3 (with multiplicity 2)

To graph the function, plot these values on the x-axis, and determine the behavior of the graph around each root based on the multiplicities.

Learn more about Graphing polynomial functions

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