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Questions and Answers
What method can be used for dividing polynomials that is similar to long division for numbers?
What method can be used for dividing polynomials that is similar to long division for numbers?
- Euclidean Division
- Synthetic Division
- Horner's Method
- Long Division (correct)
What is the remainder in polynomial long division?
What is the remainder in polynomial long division?
- The divisor
- The missing term
- The quotient
- What is left over after dividing (correct)
What should be done if there are missing terms in polynomial long division?
What should be done if there are missing terms in polynomial long division?
- Replace the missing terms with the quotient
- Leave gaps for the missing terms (correct)
- Exclude the missing terms from the division
- Omit the missing terms from the final answer
What should be done to check the answer in polynomial long division?
What should be done to check the answer in polynomial long division?
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What should the polynomials have when using long division?
What should the polynomials have when using long division?
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Study Notes
Polynomial Long Division
- A method similar to long division for numbers can be used to divide polynomials.
Key Concepts
- The remainder in polynomial long division is the leftover value after dividing one polynomial by another.
- If there are missing terms in polynomial long division, write them in with a coefficient of zero.
- To check the answer in polynomial long division, multiply the quotient by the divisor and add the remainder; the result should be the dividend.
- For polynomial long division to work, the dividend and divisor polynomials should be written in descending order of degree.
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