Question #6446227Fill 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 factor a quadratic equation with a leading coefficient other than 1 and then use the Zero Product Property (ZPP) to find the solutions.
This question tests the student's ability to factor a quadratic equation with a leading coefficient other than 1 and then use the Zero Product Property (ZPP) to find the solutions.
Key Concept Explanation
Factoring a quadratic equation involves breaking it down into a product of two binomials. The ZPP states that if the product of two factors is zero, then at least one of the factors must be zero. This property is used to solve for the variable.
Factoring a quadratic equation involves breaking it down into a product of two binomials. The ZPP states that if the product of two factors is zero, then at least one of the factors must be zero. This property is used to solve for the variable.
Step-by-step Solution
1. Factor the quadratic expression: .
2. Find two numbers that multiply to and add to : and .
3. Rewrite and factor by grouping:
1. Factor the quadratic expression: .
2. Find two numbers that multiply to and add to : and .
3. Rewrite and factor by grouping:
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!