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Find the Domain x^3-3x^2-49x+147=0

Problem

x3−3*x2−49*x+147=0

Solution

  1. Identify the type of expression. The expression x3−3*x2−49*x+147 is a polynomial.

  2. Recall the definition of a domain for a polynomial function. A polynomial is 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. Since there are no restrictions on the variable x in a polynomial equation, the domain consists of all real numbers.

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

Final Answer

Domain:(−∞,∞)


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