Factoring Quadratics: Example 10

Topic

Quadratics

Description

This example showcases factoring a quadratic expression in standard form where a = 1The factoring process involves finding two numbers that multiply to give c and add up to b, considering both positive and negative factors. For instance, if the expression is x² + 5x - 24, we would look for factors of -24 that add up to 5, resulting in (x + 8)(x - 3). This method is particularly useful for solving quadratic equations and understanding the nature of the roots. It demonstrates how the signs of the factors relate to the signs of the roots, enhancing students' ability to analyze quadratic functions both algebraically and graphically.

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