Factorization in Mathematics
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Questions and Answers

What is factorization in mathematics?

  • The process of multiplying several numbers together
  • The process of adding several numbers together
  • The process of finding the factors of a given number or mathematical object (correct)
  • The process of dividing a number by its factors
  • What is a polynomial factorization?

  • Dividing a polynomial by simpler polynomials
  • Writing a polynomial as a sum of simpler polynomials
  • Writing a polynomial as a product of simpler polynomials (correct)
  • Multiplying a polynomial by simpler polynomials
  • What does the fundamental theorem of arithmetic assert?

  • Prime numbers can be factored into composite numbers
  • Every positive integer may be factored into a product of prime numbers (correct)
  • Every positive integer may be factored into a product of composite numbers
  • Composite numbers can be factored into prime numbers
  • Why is integer factorization much more difficult algorithmically?

    <p>Because it is an inverse process to multiplication</p> Signup and view all the answers

    How have ancient Greek mathematicians contributed to factorization?

    <p>They considered factorization in the case of integers and proved the fundamental theorem of arithmetic</p> Signup and view all the answers

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