What is synthetic division?
Synthetic Division

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Mathematics
•
11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
Synthetic division is a simplified method of dividing a polynomial by a linear divisor of the form (x - c), which allows for quicker calculations compared to long division.
2.
FLASHCARD QUESTION
Front
What is the first step in synthetic division?
Back
The first step in synthetic division is to set up the synthetic division by writing down the coefficients of the polynomial and the zero of the divisor (c) to the left.
3.
FLASHCARD QUESTION
Front
How do you find the zero of the divisor in synthetic division?
Back
To find the zero of the divisor (x - c), set x - c = 0, which gives c as the zero.
4.
FLASHCARD QUESTION
Front
What is the role of placeholders in synthetic division?
Back
Placeholders are used in synthetic division to represent missing terms in the polynomial, ensuring that each degree of x is accounted for.
5.
FLASHCARD QUESTION
Front
What is the result of dividing (2x^3 - 5x - 7) by (x - 2)?
Back
The result is 2x^2 + 4x + 3 - 1/(x - 2).
6.
FLASHCARD QUESTION
Front
What does the remainder represent in synthetic division?
Back
The remainder represents the value left over after division, which can be expressed as a fraction over the divisor.
7.
FLASHCARD QUESTION
Front
How do you write the final answer in synthetic division?
Back
The final answer is written as the quotient plus the remainder divided by the divisor.
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