Set Theory and Union
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Questions and Answers

Which symbol is used to denote the union of sets?

  • (correct)

What is the result of a nullary union?

  • An empty set (correct)
  • A set with only one element
  • A set with all elements in the collection
  • A set with all elements in the collection except one

In set-builder notation, how is the union of sets A and B represented?

  • A ∪ B (correct)
  • A ⊂ B
  • A ∩ B
  • A ∈ B

What is the union of sets A = {1, 3, 5, 7} and B = {1, 2, 4, 6, 7}?

<p>{1, 2, 3, 4, 5, 6, 7} (C)</p> Signup and view all the answers

What is the union of sets A = {x is an even integer larger than 1} and B = {x is an odd integer larger than 1}?

<p>{2, 3, 4, 5, 6, ...} (A)</p> Signup and view all the answers

Which of the following is true about factoring polynomials?

<p>Factoring is the inverse procedure of multiplying polynomials (C)</p> Signup and view all the answers

What are the factors of the polynomial $2x^2 - 2x$?

<p>$2x$ and $(x-1)$ (C)</p> Signup and view all the answers

What are the factors of the polynomial $2x^2 - 3x - 5$?

<p>$(x+1)$ and $(2x-5)$ (D)</p> Signup and view all the answers

What is the purpose of factoring polynomials?

<p>To write a polynomial as a product of two or more polynomials (C)</p> Signup and view all the answers

Which property of factoring makes it extremely useful in mathematics?

<p>It allows us to write a polynomial as a product of two or more polynomials (A)</p> Signup and view all the answers

Which method can be used to factor a trinomial with a prime number as the leading coefficient?

<p>The A-C method of factoring (B)</p> Signup and view all the answers

What is the result of factoring the trinomial $2m^2 - 11m + 15$?

<p>$(2m-5)(m-3)$ (A)</p> Signup and view all the answers

Which type of trinomials does the A-C method of factoring work easily for?

<p>Factorable trinomials with a leading coefficient other than 1 (C)</p> Signup and view all the answers

What is the first step in the A-C method of factoring?

<p>Multiply the coefficient of the first term by the coefficient of the last term (A)</p> Signup and view all the answers

What are the two numbers used to split the middle term in the A-C method of factoring?

<p>Numbers that multiply to be the product of the first and last coefficients and add to be the coefficient of the middle term (A)</p> Signup and view all the answers

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