Practice Objectives
- Demonstrate the ability to perform polynomial long division
- Demonstrate the ability to perform polynomial long division with remainders
- Demonstrate the ability to perform polynomial long division with missing terms
Practice Dividing Polynomials Using Polynomial Long Division
Instructions:
Answer 7/10 questions correctly to pass.
Divide each. Write the quotient in the "Quotient" box and the remainder in the "Remainder" box. If there is no remainder, leave the remainder box empty or write 0.
Both the quotient and remainder must be written in standard form, otherwise your answer will be marked as incorrect.
Please read the items below for proper formatting.
- Rules for Exponents:
- Exponents can only be used with variables (e.g., x^2, x^3).
- Exponents must be single-digit positive integers (1, 2, 3, ..., 9). An exponent of zero is not allowed.
- Use the "^" key to raise a variable to a single-digit exponent (e.g., x^2, x^3).
- Rules for Numbers:
- Coefficients (numbers in front of variables) must be placed directly in front of the variables (e.g., 2x, -3x^2).
- Examples:
- 1x or x (implicitly 1)
- -7x
- 4x^2
- 9x^3
Problem:
Correct! 
Not Correct! 
Your answer was: 0
The correct answer was: 0
Polynomial Long Division:
- Write each polynomial in standard form:
- Arrange both the dividend and the divisor in descending powers of the variable
- Set up the division:
- Place the dividend under the long division symbol
- Place the divisor to the left of the long division symbol
- Use 0 as the coefficient for each missing term
- Follow the DMSBR process:
- D: Divide the leading term of the dividend by the leading term of the divisor
- M: Multiply the result by the divisor
- S: Subtract the product from the dividend
- B: Bring down the next term from the dividend
- R: Repeat until there are no more terms to bring down, record any remainder
- Write your answer and verify (optional):
- Multiply the quotient by the divisor and add the remainder (if applicable). The result should equal the original dividend
Step-by-Step:
You Have Missed 4 Questions...
Invalid Character !
Current Score: 0%
Correct Answers: 0 of 7
Wrong Answers: 0 of 3
Need Help?
Video Lesson Written Lesson
Wow! You have mastered Polynomial Long Division!
Correct Answers: 0/0
Your Score: 0%
