Polynomial Resultants
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Questions and Answers

Which mathematical concept is the resultant closely related to?

  • Eliminant
  • Discriminant (correct)
  • Coefficients
  • Roots

What is the purpose of computing the resultant of two polynomials?

  • To find their sum
  • To find their common factor (correct)
  • To find their common root
  • To find their product

What is the resultant widely used for in number theory?

  • Cylindrical algebraic decomposition
  • Integration of rational functions
  • Drawing of curves defined by a bivariate polynomial equation
  • All of the above (correct)

What is another name for the resultant in some older texts?

<p>Eliminant (B)</p> Signup and view all the answers

Can the resultant of two polynomials with rational or polynomial coefficients be computed efficiently on a computer?

<p>Yes (A)</p> Signup and view all the answers

What is a resultant force in physics and engineering?

<p>A force that is obtained by combining a system of forces and torques acting on a rigid body (D)</p> Signup and view all the answers

How is the resultant force calculated and visualized?

<p>Through computational analysis or a free body diagram (C)</p> Signup and view all the answers

What determines the associated torque of the resultant force?

<p>The point of application of the resultant force (C)</p> Signup and view all the answers

Why is the term 'resultant force-torque' sometimes used?

<p>To refer to both the forces and torques acting on a rigid body (A)</p> Signup and view all the answers

What does the diagram illustrate?

<p>Simple graphical methods for finding the line of application of the resultant force of simple planar systems (A)</p> Signup and view all the answers

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