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Ask by Garrett Schofield. in the United States
Mar 11,2025

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Solución

  1. We start with the quadratic expression:
  2. To factor the quadratic, we need to find two numbers that multiply to (the constant term) and add to (the coefficient of ).
  3. We examine the factor pairs of :
    • and :
  4. Since the numbers and satisfy both conditions, we can write:
  5. Thus, the factored form of the quadratic expression is:

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Extra Insights

Did you know that the quadratic equation can be factored to uncover its roots? By finding two numbers that multiply to (the constant term) and add to (the coefficient of ), we discover that these numbers are and . Thus, the equation factors as .
You can solve for by setting each factor to zero: gives you , while gives you . So, the solutions are and . Now, you can visualize this as the points where a parabola crosses the x-axis—pretty neat, right?

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