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What is the constant term in the expression 2x2 + 7x - 5?

Mathematics

ScanSolve AI Answer

Step-by-step solution

4 steps

To find the constant term in an algebraic expression, we look for the term that does not contain any variables. It is a numerical value on its own.

  1. Identify the terms in the given expression.

    The expression is 2x2+7x−52x^2 + 7x - 5.
    The terms are 2x22x^2, 7x7x, and −5-5.

  2. Determine which term is a constant.

    • The term 2x22x^2 contains the variable xx.
    • The term 7x7x contains the variable xx.
    • The term −5-5 is a numerical value and does not contain any variables.
  3. State the constant term.

    The constant term in the expression 2x2+7x−52x^2 + 7x - 5 is −5-5.

  4. Compare with the given options.

    A. 2
    B. 7
    C. −5-5
    D. xx

    The constant term is −5-5, which corresponds to option C.

    The final answer is C. −5\boxed{\text{C. } -5}.

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