Home › STAAR EOC Algebra I › Mathematics › Quadratic Equations › Factoring fails to solve a quadratic directly wh…
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_
Related questions
The Square Root Property is described as applying to quadratic equations written in which A parabola whose equation has a negative squared term has a vertex that is its:An equation whose discriminant is negative has how many real solutions?A quadratic with a perfect square solved by the quadratic formula gives how many solutionsCompleting the square relies on the principle that in solving equations you must always:To use completing the square, an equation must first be put into:The Zero Product Property cannot be used when the right side of the equation is:The line about which a parabola is symmetric is called the: