Alg2 ZAP #1: Factoring

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Factor: x^2 - 169

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(x - 13)(x + 13)

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Factor: x^3 - 5x^2 + 5x - 25

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(x^2 + 5)(x - 5)

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Factor: 12p^3 + 28p^2 - 42p - 98

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2(2p^2 - 7)(3p + 7)

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Factor: 5x^2 - 16x + 3

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(5x - 1)(x - 3)

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Factor: 2x^2 - 5x - 3

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(2x + 1)(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: Prime Polynomial

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A polynomial that cannot be factored into simpler polynomials with integer coefficients.

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Definition: Difference of Squares

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A special factoring pattern: a^2 - b^2 = (a - b)(a + b).

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Definition: Quadratic Expression

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An expression of the form ax^2 + bx + c, where a, b, and c are constants.

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Definition: Common Factor

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A number or expression that divides two or more numbers or expressions evenly.