Factoring Quadratics Review

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Factor: 6m² + 16m

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2m(3m + 8)

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Factor: x² + 11x + 24

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(x + 8)(x + 3)

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Factor: x² + 2x - 3

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(x - 1)(x + 3)

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Factor: x² - 10x + 24

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(x - 6)(x - 4)

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Factor: x² - 14x + 24

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(x - 12)(x - 2)

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Definition: Quadratic Expression

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An expression of the form ax² + bx + c where a, b, and c are constants and a ≠ 0.

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Definition: Factoring

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The process of breaking down an expression into simpler components that, when multiplied together, give the original expression.

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Definition: Roots of a Quadratic Equation

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The values of x that make the quadratic equation equal to zero.

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Definition: Perfect Square Trinomial

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A trinomial that can be expressed as the square of a binomial, e.g., (a + b)² = a² + 2ab + b².

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Definition: Difference of Squares

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A² - B² = (A + B)(A - B), a special factoring pattern.