What is Synthetic Division?
Synthetic Division

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A method used to divide a polynomial by a linear divisor of the form (x - c) without using long division.
2.
FLASHCARD QUESTION
Front
What is the first step in Synthetic Division?
Back
Identify the root of the divisor (x - c), which is c.
3.
FLASHCARD QUESTION
Front
How do you set up Synthetic Division?
Back
Write the coefficients of the polynomial in a row and the root c to the left.
4.
FLASHCARD QUESTION
Front
What do you do with the first coefficient in Synthetic Division?
Back
Bring down the first coefficient as is.
5.
FLASHCARD QUESTION
Front
What is the process after bringing down the first coefficient?
Back
Multiply the root c by the number just brought down, and write the result under the next coefficient.
6.
FLASHCARD QUESTION
Front
What do you do after writing the result under the next coefficient?
Back
Add the two numbers in that column.
7.
FLASHCARD QUESTION
Front
What is the significance of the last number in Synthetic Division?
Back
It represents the remainder of the division.
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