Polynomial Mastery
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Questions and Answers

Which of the following is an example of a polynomial with three indeterminates?

  • $x^2 - 4x + 7$
  • $x^3 + 2xyz^2 - yz + 1$ (correct)
  • $x + y + z$
  • $x^2 - 4x + 7y$
  • Which of the following operations are involved in a polynomial expression?

  • Addition, subtraction, multiplication, and logarithms
  • Addition, subtraction, multiplication, and square roots
  • Addition, subtraction, multiplication, and exponentiation
  • Addition, subtraction, multiplication, and division (correct)
  • In which areas of mathematics and science do polynomials appear?

  • Only in elementary word problems
  • In many areas, including forming polynomial equations, defining polynomial functions, calculus, numerical analysis, algebra, and algebraic geometry (correct)
  • Only in complicated scientific problems
  • Only in calculus and numerical analysis
  • What are polynomials used to construct in advanced mathematics?

    <p>Polynomial rings and algebraic varieties</p> Signup and view all the answers

    Which of the following is an example of a polynomial of a single indeterminate?

    <p>$x^2 - 4x + 7$</p> Signup and view all the answers

    Which of the following best describes the degree of a polynomial?

    <p>The highest exponent occurring in the polynomial</p> Signup and view all the answers

    How many terms does the polynomial $7x^2y^3 + 4x - 9$ have?

    <p>3</p> Signup and view all the answers

    What is the degree of the term $4x$ in the polynomial $7x^2y^3 + 4x - 9$?

    <p>1</p> Signup and view all the answers

    What is the degree of the term $7x^2y^3$ in the polynomial $7x^2y^3 + 4x - 9$?

    <p>3</p> Signup and view all the answers

    What is the degree of the polynomial $7x^2y^3 + 4x - 9$?

    <p>2</p> Signup and view all the answers

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