Question #6446102Fill in the Blank
Algebra-1
Question
A quadratic equation has the form . The solutions are __________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to factor a quadratic equation with a non-1 leading coefficient. The students need to find two binomials that multiply to form the given quadratic.
Key Concept Explanation
Factoring a quadratic equation involves finding two binomials whose product equals the original quadratic. For the equation , we look for factors of that add up to .
Step-by-step Solution
1. Identify the coefficients: , , .
2. Find two numbers that multiply to and add to . These numbers are and .
3. Rewrite the middle term using these numbers:
This question tests the student's ability to factor a quadratic equation with a non-1 leading coefficient. The students need to find two binomials that multiply to form the given quadratic.
Key Concept Explanation
Factoring a quadratic equation involves finding two binomials whose product equals the original quadratic. For the equation , we look for factors of that add up to .
Step-by-step Solution
1. Identify the coefficients: , , .
2. Find two numbers that multiply to and add to . These numbers are and .
3. Rewrite the middle term using these numbers:
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.
Practice Now - It's Free!