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math:common_factorizations [2020/11/03 23:28] – created epix | math:common_factorizations [2020/11/03 23:43] (current) – epix | ||
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===== Perfect Square Trinomial ===== | ===== Perfect Square Trinomial ===== | ||
$x^2 + bx + c = (x + \frac{b}{2})^2$ where $ \sqrt{c} = \frac{b}{2}$ | $x^2 + bx + c = (x + \frac{b}{2})^2$ where $ \sqrt{c} = \frac{b}{2}$ | ||
+ | ===== Grouping ===== | ||
+ | This one is a bit difficult to describe, so an example would do best. | ||
+ | - $x^3 - 3x^2 - x + 3$ //example quadratic// | ||
+ | - $x^3 - 3x^2$ **// | ||
+ | - $x^2(x - 3)$ **// | ||
+ | - $(x^2 - 1)(x - 3)$ //reverse distribute the common group// |