Polynomial Long Division
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is Polynomial Long Division?
Back
A method for dividing a polynomial by another polynomial of the same or lower degree, similar to long division with numbers.
2.
FLASHCARD QUESTION
Front
What is the first step in Polynomial Long Division?
Back
Divide the leading term of the dividend by the leading term of the divisor.
3.
FLASHCARD QUESTION
Front
What do you do after finding the first term in Polynomial Long Division?
Back
Multiply the entire divisor by the term found and subtract the result from the dividend.
4.
FLASHCARD QUESTION
Front
What is the purpose of adding zero terms in Polynomial Long Division?
Back
To ensure that all degrees of the polynomial are represented, making the division process clearer.
5.
FLASHCARD QUESTION
Front
How do you find the remainder in Polynomial Long Division?
Back
After the division process is complete, the remainder is what is left over when the degree of the remaining polynomial is less than the degree of the divisor.
6.
FLASHCARD QUESTION
Front
What is the Remainder Theorem?
Back
It states that the remainder of the division of a polynomial f(x) by (x - c) is f(c).
7.
FLASHCARD QUESTION
Front
What is the significance of the leading coefficient in Polynomial Long Division?
Back
It helps determine the first term of the quotient and influences the overall shape of the polynomial.
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