What is synthetic division?
Synthetic Division

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Mathematics
•
10th - 11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A method used to divide a polynomial by a linear binomial of the form (x - c) without using long division.
2.
FLASHCARD QUESTION
Front
How do you set up synthetic division?
Back
Write the coefficients of the polynomial in a row, and use the zero of the divisor (c) to perform the division.
3.
FLASHCARD QUESTION
Front
What do you do if a polynomial is missing a term?
Back
You must place a zero as a coefficient for that missing term.
4.
FLASHCARD QUESTION
Front
If dividing x^6 + 4x^3 + 2, how many 0's are needed in synthetic division?
Back
4 zeros are needed for the missing x^5, x^4, x^2, and x^1 terms.
5.
FLASHCARD QUESTION
Front
What is the result of (2x^3 + 5x^2 + 9) ÷ (x + 3)?
Back
The result is 2x^2 - x + 3.
6.
FLASHCARD QUESTION
Front
What does it mean for k = 9 to be a zero of the function f(x) = 4x^2 - 33x - 27?
Back
It means that f(9) = 0, indicating that (x - 9) is a factor of the polynomial.
7.
FLASHCARD QUESTION
Front
What is the first step in synthetic division?
Back
Identify the zero of the divisor (x - c) and write it to the left.
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