Question
Ask by Burton Hilton. in the United States
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Solution
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Rewrite the expression:
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We need to factor it in the form:When expanded, this becomes:
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Compare coefficients with the given expression:We have:
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Find two numbers
and that satisfy these conditions. One valid pair is and since: -
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!