Synthetic Division

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is Synthetic Division?
Back
A method used to divide a polynomial by a linear divisor of the form (x - c) without using long division.
Tags
CCSS.HSA.APR.D.6
2.
FLASHCARD QUESTION
Front
What is the first step in Synthetic Division?
Back
Write down the coefficients of the polynomial and the value of c from the divisor (x - c).
Tags
CCSS.HSA.APR.D.6
3.
FLASHCARD QUESTION
Front
How do you set up Synthetic Division for the polynomial x^2 - 6x + 8 ÷ (x - 2)?
Back
Use the coefficients [1, -6, 8] and the value 2.
Tags
CCSS.HSA.APR.D.6
4.
FLASHCARD QUESTION
Front
What is the result of Synthetic Division for x^2 - 6x + 8 ÷ (x - 2)?
Back
The result is x - 4 with a remainder of 0.
Tags
CCSS.HSA.APR.D.6
5.
FLASHCARD QUESTION
Front
What does the remainder represent in Synthetic Division?
Back
The remainder represents the value of the polynomial at the divisor's root.
Tags
CCSS.HSA.APR.D.6
6.
FLASHCARD QUESTION
Front
How do you perform the multiplication step in Synthetic Division?
Back
Multiply the last number obtained by the value of c and write it under the next coefficient.
Tags
CCSS.HSA.APR.D.6
7.
FLASHCARD QUESTION
Front
What is the significance of bringing down the next coefficient in Synthetic Division?
Back
It allows you to continue the division process by combining it with the previous result.
Tags
CCSS.HSA.APR.D.6
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