5.4B Synthetic Division
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is synthetic division?
Back
A method used to divide a polynomial by a linear binomial of the form (x - c) without using long division.
2.
FLASHCARD QUESTION
Front
When is (x - c) a factor of a polynomial?
Back
(x - c) is a factor of a polynomial if the polynomial evaluates to zero at x = c.
3.
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 f(c).
4.
FLASHCARD QUESTION
Front
How do you determine if (x - 1) is a factor of a polynomial?
Back
Evaluate the polynomial at x = 1. If the result is 0, then (x - 1) is a factor.
5.
FLASHCARD QUESTION
Front
What is the first step in synthetic division?
Back
Write down the coefficients of the polynomial being divided.
6.
FLASHCARD QUESTION
Front
What do you do with the divisor in synthetic division?
Back
Use the root of the divisor (c from (x - c)) as the number to bring down in synthetic division.
7.
FLASHCARD QUESTION
Front
What is the purpose of bringing down the first coefficient in synthetic division?
Back
It starts the synthetic division process and allows for further calculations.
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