alleryStart learning →Factoring fails to solve a quadratic directly when the equation has not first been arranged so that one side is:
AA perfect square
BA single fraction
CEqual to zero
DEqual to one
Answer & Solution
Correct answer: C. Equal to zero
1. Factoring works through the Zero Product Property.
2. Factoring turns the quadratic into a product of factors.
3. The Zero Product Property is what turns that product into solutions.
4. But the right side may not be zero, so the property cannot be used.
5. The equation must first be arranged with one side equal to zero.
_Source: OpenStax Elementary Algebra 2e (CC BY 4.0), Ch 10 'Quadratic Equations', sections 10.1-10.5_
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