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Questions and Answers
What is the factorization of $x^2 - 9$?
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 $4x^2 - 16$?
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 $6x^2 - 54$?
What is the factorization of $6x^2 - 54$?
- $6(x + 3)(x - 3)$ (correct)
- $9(x + 3)(x - 3)$
- $3(x + 6)(x - 9)$
- $6(x^2 - 9)$
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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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