Q2 Flashcard #2- Divide Polynomials/Remainder or Factor Th

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Mathematics
•
12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is synthetic division?
Back
Synthetic division is a simplified form of polynomial long division that is used specifically for dividing a polynomial by a linear factor of the form (x - c). It provides a quick way to find the quotient and remainder.
2.
FLASHCARD QUESTION
Front
State the Remainder Theorem.
Back
The Remainder Theorem states that if a polynomial f(x) is divided by (x - c), the remainder of this division is equal to f(c).
3.
FLASHCARD QUESTION
Front
What is the Factor Theorem?
Back
The Factor Theorem states that (x - c) is a factor of the polynomial f(x) if and only if f(c) = 0.
4.
FLASHCARD QUESTION
Front
How do you find the remainder using synthetic division?
Back
To find the remainder using synthetic division, set up the synthetic division with the coefficients of the polynomial and the value of c (from x - c). Perform the synthetic division process, and the last number obtained is the remainder.
5.
FLASHCARD QUESTION
Front
What is the first step in synthetic division?
Back
The first step in synthetic division is to write down the coefficients of the polynomial in descending order of the degree.
6.
FLASHCARD QUESTION
Front
How do you determine if (x - c) is a factor of a polynomial?
Back
To determine if (x - c) is a factor of a polynomial, evaluate the polynomial at c. If f(c) = 0, then (x - c) is a factor.
7.
FLASHCARD QUESTION
Front
Back
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