Polynomial Division
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is polynomial division?
Back
Polynomial division is the process of dividing a polynomial by another polynomial of the same or lower degree, similar to long division with numbers.
Tags
CCSS.HSA.APR.D.6
2.
FLASHCARD QUESTION
Front
What is the result of dividing a polynomial by a linear factor?
Back
The result is a polynomial of one degree lower than the original polynomial, plus a remainder that can be expressed as a fraction.
Tags
CCSS.HSA.APR.D.6
3.
FLASHCARD QUESTION
Front
How do you determine if (x - c) is a factor of a polynomial f(x)?
Back
If f(c) = 0, then (x - c) is a factor of f(x). This is known as the Factor Theorem.
Tags
CCSS.HSA.APR.B.2
4.
FLASHCARD QUESTION
Front
What is synthetic division?
Back
Synthetic division is a simplified form of polynomial division that is used when dividing by a linear factor of the form (x - c).
Tags
CCSS.HSA.APR.D.6
5.
FLASHCARD QUESTION
Front
What is the Remainder Theorem?
Back
The Remainder Theorem states that the remainder of the division of a polynomial f(x) by (x - c) is equal to f(c).
Tags
CCSS.HSA.APR.B.2
6.
FLASHCARD QUESTION
Front
What is the quotient in polynomial division?
Back
The quotient is the result of the division process, representing how many times the divisor can fit into the dividend.
Tags
CCSS.HSA.APR.D.6
7.
FLASHCARD QUESTION
Front
What does it mean if the remainder is zero in polynomial division?
Back
If the remainder is zero, it means that the divisor is a factor of the dividend polynomial.
Tags
CCSS.HSA.APR.B.2
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