Factorisation of Quadratic Expressions
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Questions and Answers

What is the factorization of $x^2 - 9$?

  • $(x^2 + 3x - 3)$
  • $(x + 9)(x - 1)$
  • $(x + 2)(x - 4)$
  • $(x + 3)(x - 3)$ (correct)
  • What is the factorization of $4x^2 - 16$?

  • $2(x + 4)(x - 2)$
  • $4(x + 4)(x + 4)$
  • $2(x + 2)(2x - 8)$
  • $4(x + 2)(x - 2)$ (correct)
  • What is the factorization of $6x^2 - 54$?

  • $6(x + 3)(x - 3)$ (correct)
  • $9(x + 3)(x - 3)$
  • $3(x + 6)(x - 9)$
  • $6(x^2 - 9)$
  • Study Notes

    Factorization of Quadratic Expressions

    • The factorization of $x^2 - 9$ is $(x - 3)(x + 3)$.
    • The factorization of $4x^2 - 16$ is $(2x - 4)(2x + 4)$.
    • The factorization of $6x^2 - 54$ is $(\sqrt{6}x - 6\sqrt{6})(\sqrt{6}x + 6\sqrt{6})$ or $(3x - 9)(3x + 9)$ in simplified form.

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    Test your factorisation skills with these quadratic expressions. Factorize the given expressions to find the solutions.

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