Question #6446100Fill in the Blank
Algebra-1
Question
Solve the quadratic equation by factoring. The solutions are ___________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to solve a quadratic equation by factoring when all three coefficients are non-zero.
This question tests the student's ability to solve a quadratic equation by factoring when all three coefficients are non-zero.
Key Concept Explanation
Factoring a quadratic equation involves rewriting it as a product of two binomials. The zero-product property states that if the product of two factors is zero, then at least one of the factors must be zero.
Factoring a quadratic equation involves rewriting it as a product of two binomials. The zero-product property states that if the product of two factors is zero, then at least one of the factors must be zero.
Step-by-step Solution
1. For , find two numbers with product and sum 12: 15 and .
2. Rewrite the middle term: .
3. Group and factor:
1. For , find two numbers with product and sum 12: 15 and .
2. Rewrite the middle term: .
3. Group and factor:
Click "Show Answer" to reveal the answer and analysis
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.
Practice Now - It's Free!