Synthetic or long division
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is synthetic division?
Back
Synthetic division is a simplified method of dividing a polynomial by a linear factor of the form (x - c) without using long division.
2.
FLASHCARD QUESTION
Front
What is the purpose of using a zero placeholder in synthetic division?
Back
A zero placeholder is used to maintain the correct degree of the polynomial when a term is missing, ensuring accurate calculations.
3.
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, perform synthetic division. If the remainder is zero, then (x - c) is a factor.
4.
FLASHCARD QUESTION
Front
What does the remainder represent in synthetic division?
Back
The remainder represents the value of the polynomial at the point x = c, and it indicates whether (x - c) is a factor.
5.
FLASHCARD QUESTION
Front
What is the first step in synthetic division?
Back
The first step is to set up the synthetic division by writing down the coefficients of the polynomial and the value of c from (x - c).
6.
FLASHCARD QUESTION
Front
How do you handle missing terms in synthetic division?
Back
When handling missing terms, use a zero as a placeholder for the coefficient of the missing term.
7.
FLASHCARD QUESTION
Front
What is the result of dividing (2x^3 + 4x^2 - 5) by (x + 3) using synthetic division?
Back
The result is 2x^2 - 2x + 6 with a remainder of -23.
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