Understanding the Use of Square Roots in Factoring: Why √4 and √9?
Jarrod utilized the square root of 4 and the square root of 9 as values within the factors due to their relationship with perfect squares. The numbers 4 and 9 are perfect squares, meaning they are the product of an integer multiplied by itself. By incorporating their square roots (√4 and √9), Jarrod ensured that the multiplication of the factors would consistently result in a perfect square, regardless of the value substituted for 'x'. This strategic approach guarantees a squared outcome for any 'x' value.
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