Question
Uest 15
What method of solving a quadratic equation is shown here?
What method of solving a quadratic equation is shown here?
Ask by Mitchell Henry. in the United States
Dec 04,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
The method is C. factoring. Solutions:
and
.
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Mind Expander
This method of solving a quadratic equation is called factoring. In this example, the quadratic expression
is expressed as the product of two binomials
, which helps to easily find the roots by setting each factor to zero.
To solve using factoring, it’s important to recognize pairs of numbers that multiply to the constant term (12) and add to the linear coefficient (7). Common mistakes include overlooking negative factors or miscalculating the constants. Always double-check that your binomials distribute correctly back to the original quadratic!