Factoring Quadratics: Example 9

Topic

Quadratics

Description

This example demonstrates factoring a quadratic expression where in standard form where a = 1. The process still involves finding two numbers that multiply to give c and add up to b. 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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