What is synthetic division?
Lab 20: Synthetic Division of Polynomials

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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). It is faster and requires less writing than long division.
2.
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 zero of the divisor (c) on the left.
3.
FLASHCARD QUESTION
Front
How do you find the zero of the divisor in synthetic division?
Back
For a divisor of the form (x + a), the zero is -a. For (x - a), the zero is a.
4.
FLASHCARD QUESTION
Front
What do you do with the leading coefficient in synthetic division?
Back
Bring down the leading coefficient as the first number in the synthetic division process.
5.
FLASHCARD QUESTION
Front
What is the process of synthetic division after bringing down the leading coefficient?
Back
Multiply the zero of the divisor by the number just brought down, then add this result to the next coefficient.
6.
FLASHCARD QUESTION
Front
What does the final row of numbers represent in synthetic division?
Back
The final row represents the coefficients of the quotient polynomial, with the last number being the remainder.
7.
FLASHCARD QUESTION
Front
How do you express the result of synthetic division?
Back
The result is expressed as the quotient polynomial plus the remainder divided by the original divisor.
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