Question #6448443Fill in the Blank
Algebra-2
Question
The roots of the polynomial are ____ and ____.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to find the roots of a quadratic polynomial by factoring.
This question tests the student's ability to find the roots of a quadratic polynomial by factoring.
Key Concept Explanation
The roots of a polynomial are the values of for which the polynomial equals zero. For a quadratic polynomial, this can be done by factoring the polynomial into linear factors.
The roots of a polynomial are the values of for which the polynomial equals zero. For a quadratic polynomial, this can be done by factoring the polynomial into linear factors.
Step-by-step Solution
1. Factor the polynomial: .
2. Find two numbers that multiply to 30 and add to -11. These numbers are -5 and -6.
3. Rewrite the polynomial as:
1. Factor the polynomial: .
2. Find two numbers that multiply to 30 and add to -11. These numbers are -5 and -6.
3. Rewrite the polynomial as:
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!