Find the Domain 3x(2x+x^2)+5x(3x-4x^2)

Problem

3*x*(2*x+x2)+5*x*(3*x−4*x2)

Solution

1. Identify the type of expression. The given expression is a polynomial because it consists of terms with non-negative integer exponents and no variables in denominators or under radicals.

2. Recall the rule for the domain of polynomial functions. Polynomials are defined for all real numbers because there are no operations (like division by zero or square roots of negative numbers) that would restrict the input.

3. Determine the domain. Since there are no restrictions on the variable x the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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