Dividing Polynomials

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•
Mathematics
•
11th Grade
•
Hard
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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) efficiently.
2.
FLASHCARD QUESTION
Front
What is the first step in synthetic division?
Back
Write down the coefficients of the polynomial in descending order.
3.
FLASHCARD QUESTION
Front
For synthetic division, what does the left-hand box represent?
Back
The value of 'c' from the divisor (x - c) used in the division.
4.
FLASHCARD QUESTION
Front
How do you find the remainder in synthetic division?
Back
The remainder is the last number obtained after performing synthetic division.
5.
FLASHCARD QUESTION
Front
What is the result of dividing 2x^3 - 5x^2 + 3x + 7 by x - 2?
Back
2x^2 - x + 1 + 9/(x - 2)
6.
FLASHCARD QUESTION
Front
What is the area of a rectangular pool table represented by the polynomial x^2 + 14x + 40?
Back
The area can be factored to find the dimensions of the table.
7.
FLASHCARD QUESTION
Front
If the length of a rectangle is x + 4 and the area is x^2 + 14x + 40, how do you find the width?
Back
Divide the area by the length: width = (x^2 + 14x + 40) / (x + 4).
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