Factoring

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Factor completely: 3x² + 5x - 12

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(3x - 4)(x + 3)

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Factor completely: x² + 16x + 64

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(x + 8)(x + 8)

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Factor: x² + 11x + 24

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(x + 8)(x + 3)

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Factor completely: x² - 6x + 8

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(x - 2)(x - 4)

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Factor: x² + 9x - 36

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(x + 12)(x - 3)

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Definition: Factoring

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The process of breaking down an expression into a product of simpler factors.

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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.

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Definition: Roots of a Polynomial

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Values of x that make the polynomial equal to zero.

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Definition: Perfect Square Trinomial

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An expression that can be factored into the square of a binomial, e.g., (a + b)² = a² + 2ab + b².

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Example of a Perfect Square Trinomial:

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x² + 6x + 9 = (x + 3)²