Polynomial Proficiency
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Questions and Answers

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

  • $x^2 + 2x - 3$
  • $x^2 - 4x + 7$
  • $x^4 - 5x^2 + 9$
  • $x^3 + 2xyz^2 - yz + 1$ (correct)

What operations are involved in a polynomial?

  • Addition, subtraction, multiplication, and exponentiation (correct)
  • Addition, subtraction, multiplication, and integration
  • Addition, subtraction, multiplication, and differentiation
  • Addition, subtraction, multiplication, and division

In which areas of mathematics and science do polynomials appear?

  • Only in basic chemistry and physics
  • Only in algebra and algebraic geometry
  • In algebra, algebraic geometry, calculus, and numerical analysis (correct)
  • Only in calculus and numerical analysis

Which of the following is an example of a polynomial equation?

<p>$x^2 - 4x + 7 = 0$ (A)</p> Signup and view all the answers

Which of the following is an example of a polynomial function?

<p>$f(x) = x^2 - 4x + 7$ (C)</p> Signup and view all the answers

Which of the following is NOT an example of a polynomial?

<p>$\sqrt{x}$ (B)</p> Signup and view all the answers

Which of the following is an example of a polynomial equation?

<p>$x^2 + y^2 = 1$ (B)</p> Signup and view all the answers

Which of the following is an example of a polynomial function?

<p>$f(x) = -4(x + 3)^2 + 2$ (A)</p> Signup and view all the answers

In which areas of mathematics and science do polynomials appear?

<p>Algebra and algebraic geometry (B)</p> Signup and view all the answers

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