Factorisation: Method of Common Factors
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Questions and Answers

What are the prime factors of 30?

  • 2, 3, 5, 7
  • 1, 2, 3, 5, 6, 10, 15, 30
  • 2, 3, 5 (correct)
  • 1, 30

    • What is meant by 'prime factor form'?

  • Writing a number without any prime factors
  • Writing a number using a single prime factor only
  • Writing a number without multiplication signs
  • Writing a number as a product of its prime factors (correct)

    • Can every algebraic expression be expressed as a product of its factors?

  • Yes, every algebraic expression can be factored
  • Only expressions with whole numbers can be factored
  • No, it is not always possible to factorize an algebraic expression (correct)
  • Only expressions with two terms can be factored

    • How many prime factors does the number 90 have?

    <p>3</p> Signup and view all the answers

    What is the factorized form of the expression $3x^2 + 8x + 4$?

    <p>$3(x+2)(x+1)$</p> Signup and view all the answers

    What is the common factor of 49y^2, 84yz, and 36z^2?

    <p>7y + 6z</p> Signup and view all the answers

    Which expression can be factorized as (5m + 3)^2?

    <p>25m^2 + 30m + 9</p> Signup and view all the answers

    What is the factorized form of -16z + 20z^3?

    <p>-4z(4 - 5z^2)</p> Signup and view all the answers

    Which pair of expressions can be further factorized as (l - m)^2?

    <p>(l - m)^2 - 4lm</p> Signup and view all the answers

    The common factors of 3x^2y^3, 10x^3y^2, and 6x^2y^2z are:

    <p>x^2y^2</p> Signup and view all the answers

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