Factoring Quadratics: Example 7

Topic

Quadratics

Description

This example demonstrates factoring a quadratic expression in standard form where a ≠ 1, but with a negative middle term. The process still involves finding two numbers that multiply to give a•c and add up to b, but now considering negative factors. For example, if the expression is x² - x - 12, we look for factors of -12 that add up to -1, resulting in (x - 4)(x + 3). This skill is essential for solving a wide range of quadratic equations and understanding the relationship between a quadratic's factors and its roots. It also helps in visualizing how the factored form relates to the graph of the parabola, particularly its x-intercepts.

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