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Find the Domain x^3+4x^2-17x-60=0

Problem

x3+4*x2−17*x−60=0

Solution

  1. Identify the type of expression provided. The expression x3+4*x2−17*x−60 is a polynomial function.

  2. Recall the definition of the domain for polynomial functions. Polynomials are defined for all real numbers because there are no denominators that could be zero and no even roots of negative numbers.

  3. Determine the domain based on the properties of polynomials. Since there are no restrictions on the input x the domain consists of all real numbers.

  4. Express the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain: *(−∞,∞)


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