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Instructions: Determine if the given expression represents a polynomial expression.x2+3x12𝑥2+3𝑥12Is it a polynomial?

Question

Instructions: Determine if the given expression represents a polynomial expression.

Expression:
x^2 + 3x^{12}

Question: Is it a polynomial?

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Solution

Yes, the given expression x^2 + 3x^12 is a polynomial.

Here's why:

  1. A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

  2. In the given expression, x^2 + 3x^12, we only have variables (x) raised to non-negative integer exponents (2 and 12), and these terms are combined using addition, which is allowed in a polynomial.

  3. Therefore, the given expression is a polynomial.

This problem has been solved

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