Set Theory and Union

Which symbol is used to denote the union of sets?

∪

What is the result of a nullary union?

An empty set

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

A ∪ B

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

{1, 2, 3, 4, 5, 6, 7} 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}?

{2, 3, 4, 5, 6, ...} Signup and view all the answers

Which of the following is true about factoring polynomials?

Factoring is the inverse procedure of multiplying polynomials Signup and view all the answers

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

$2x$ and $(x-1)$ Signup and view all the answers

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

$(x+1)$ and $(2x-5)$ Signup and view all the answers

What is the purpose of factoring polynomials?

To write a polynomial as a product of two or more polynomials Signup and view all the answers

Which property of factoring makes it extremely useful in mathematics?

It allows us to write a polynomial as a product of two or more polynomials Signup and view all the answers

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

The A-C method of factoring Signup and view all the answers

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

$(2m-5)(m-3)$ Signup and view all the answers

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

Factorable trinomials with a leading coefficient other than 1 Signup and view all the answers

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

Multiply the coefficient of the first term by the coefficient of the last term Signup and view all the answers

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

Numbers that multiply to be the product of the first and last coefficients and add to be the coefficient of the middle term Signup and view all the answers

Set Theory and Union

Questions and Answers