Question #6448449Fill in the Blank
Algebra-2
Question
The polynomial has roots _____ and _____.
Answer & Analysis
Analysis
Question Analysis
This question evaluates the student's ability to find the roots of a quadratic polynomial by factoring.
This question evaluates the student's ability to find the roots of a quadratic polynomial by factoring.
Key Concept Explanation
The roots (or zeros) of a polynomial are the values of for which the polynomial equals zero. For a quadratic polynomial , the roots can be found by factoring it into linear factors.
The roots (or zeros) of a polynomial are the values of for which the polynomial equals zero. For a quadratic polynomial , the roots can be found by factoring it into linear factors.
Step-by-step Solution
1. Factor the polynomial: .
2. Find two numbers that multiply to 28 and add to -11. These numbers are -4 and -7.
3. Write the polynomial as
1. Factor the polynomial: .
2. Find two numbers that multiply to 28 and add to -11. These numbers are -4 and -7.
3. Write the polynomial as
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.
Practice Now - It's Free!