Synthetic Division
Flashcard
•
Mathematics
•
9th - 10th Grade
•
Hard
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15 questions
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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 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 value of c from the divisor (x - c).
3.
FLASHCARD QUESTION
Front
How do you handle coefficients of zero in synthetic division?
Back
If a coefficient is zero, you still include it in the setup. It represents a missing term in the polynomial.
4.
FLASHCARD QUESTION
Front
What is the result of synthetic division?
Back
The result of synthetic division is a polynomial quotient and a remainder, which can be expressed as: Quotient + Remainder/(x - c).
5.
FLASHCARD QUESTION
Front
How do you find the quotient in synthetic division?
Back
To find the quotient, bring down the leading coefficient and multiply it by c, then add it to the next coefficient, repeating this process until all coefficients are processed.
6.
FLASHCARD QUESTION
Front
What does the remainder represent in synthetic division?
Back
The remainder represents the value of the original polynomial evaluated at x = c, indicating how much is left over after division.
7.
FLASHCARD QUESTION
Front
Perform synthetic division on (2x^3 - 5x - 7) ÷ (x - 2). What is the quotient?
Back
The quotient is 2x^2 + 4x + 3.
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