Synthetic Division
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
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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 than long division and focuses on the coefficients of the polynomial.
Tags
CCSS.HSA.APR.D.6
2.
FLASHCARD QUESTION
Front
How do you set up synthetic division?
Back
To set up synthetic division, write the coefficients of the polynomial in descending order. If any degree is missing, use a zero as a placeholder. Place the value of c (from x - c) to the left.
Tags
CCSS.HSA.APR.D.6
3.
FLASHCARD QUESTION
Front
What is the purpose of using a zero placeholder in synthetic division?
Back
A zero placeholder is used to maintain the correct degree of the polynomial when a term is missing. It ensures that the synthetic division process accurately reflects the polynomial's structure.
Tags
CCSS.HSA.APR.D.6
4.
FLASHCARD QUESTION
Front
What is the result of dividing (x^3 - 3x^2 - 10x + 24) by (x + 3)?
Back
The result is (x - 4)(x - 2).
Tags
CCSS.HSA.APR.B.2
5.
FLASHCARD QUESTION
Front
What are the coefficients obtained after performing synthetic division on (3x - 4x^3 + 6x^4 + 1) by (x + 3)?
Back
The coefficients are 6, -4, 0, 3, 1.
Tags
CCSS.HSA.APR.D.6
6.
FLASHCARD QUESTION
Front
What mistake did Cam make when dividing (x^4 + 3x^2 - 4x - 2) by (x - 2)?
Back
Cam did not use a zero placeholder for the x^3 term.
Tags
CCSS.HSA.APR.D.6
7.
FLASHCARD QUESTION
Front
What is the result of dividing (4x^4 + 4x^3 - 9x^2 - x + 2) by (x - 1)?
Back
The result is 4x^3 + 8x^2 - x - 2.
Tags
CCSS.HSA.APR.D.6
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