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Questions and Answers
Which of the following is a factor of $x^2 - 4$?
Which of the following is a factor of $x^2 - 4$?
- $(x+2)$
- $(x-4)$
- $(x-2)$ (correct)
- $(x+4)$
What is the correct factorization of $9y^2 - 16$?
What is the correct factorization of $9y^2 - 16$?
- $(3y-4)(3y+4)$ (correct)
- $(9y^2+16)$
- $(3y^2-16)$
- $(3y-2)(3y+2)$
Which of the following is a factor of $25a^2 - 16b^2$?
Which of the following is a factor of $25a^2 - 16b^2$?
- $(25a^2+16b^2)$
- $(5a-4b)(5a+4b)$ (correct)
- $(5a+4b)(5a-4b)$
- $(25a^2-16b^2)$
What is the correct factorization of $x^2 - 9$?
What is the correct factorization of $x^2 - 9$?
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Study Notes
Quadratic Expressions and Factorization
- The expression $x^2 - 4$ can be factored as $(x + 2)(x - 2)$.
- The correct factorization of $9y^2 - 16$ is $(3y + 4)(3y - 4)$.
- The expression $25a^2 - 16b^2$ can be factored as $(5a + 4b)(5a - 4b)$.
- The correct factorization of $x^2 - 9$ is $(x + 3)(x - 3)$.
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