Polynomial Coefficients and Degrees

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Questions and Answers

What is the coefficient of the term 30mn^2?

  • 15
  • 30 (correct)
  • 10
  • 20

Which term in the expression is a monomial?

  • 15mn
  • n^2+15mn
  • 30mn^2
  • 10m^2 (correct)

What is the total degree of the expression?

  • 4
  • 6 (correct)
  • 3
  • 5

Match each term in the expression with its degree:

<p>10m^2 n = 3 30mn^2 = 3 15mn = 2</p> Signup and view all the answers

Match each term in the expression with its coefficient:

<p>10m^2 n = 10 30mn^2 = 30 15mn = 15</p> Signup and view all the answers

Match each term in the expression with its monomial classification:

<p>10m^2 n = First-degree monomial 30mn^2 = First-degree monomial 15mn = Second-degree monomial</p> Signup and view all the answers

Match each term in the expression with its monomial classification:

<p>10m^2 = Monomial n = Monomial 30mn^2 = Monomial 15mn = Monomial</p> Signup and view all the answers

Match each term in the expression with its degree:

<p>10m^2 = 2 n = 1 30mn^2 = 3 15mn = 2</p> Signup and view all the answers

Match each term in the expression with its coefficient:

<p>10m^2 = 10 n = 1 30mn^2 = 30 15mn = 15</p> Signup and view all the answers

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Study Notes

Expression Analysis

  • The expression is 30mn^2.
  • The coefficient of the term mn^2 is 30.
  • The term 30mn^2 is a monomial.
  • The total degree of the expression is 3 (2 from n^2 and 1 from m).

Term Breakdown

  • Term: mn^2
    • Degree: 3
    • Coefficient: 30
    • Monomial classification: Monomial

Note: Since there is only one term in the expression, the breakdown is straightforward.

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