Question

Ask by Burton Hilton. in the United States
Mar 11,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Solution

  1. Rewrite the expression:
  2. We need to factor it in the form:
    When expanded, this becomes:
  3. Compare coefficients with the given expression:
    We have:
  4. Find two numbers and that satisfy these conditions. One valid pair is and since:
  5. Therefore, the factorization is:

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The Deep Dive

This quadratic expression can be factored with some creative algebra! It resembles the standard form of a quadratic equation, which can hint at factoring. The expression can be factored into by looking for two numbers that multiply to the product of the first coefficient and the constant (-12) while adding up to the middle coefficient (4).
And there you have it: a neat product of two binomials, making it easier to solve for values of when set to zero. Always remember, factoring can simplify your equations and make them more manageable!

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