Remainder theorem/Factor theorem

Flashcard
•
Mathematics
•
11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the Remainder Theorem?
Back
The Remainder Theorem states that if a polynomial f(x) is divided by (x - c), the remainder of this division is f(c).
2.
FLASHCARD QUESTION
Front
What is the Factor Theorem?
Back
The Factor Theorem states that (x - c) is a factor of the polynomial f(x) if and only if f(c) = 0.
3.
FLASHCARD QUESTION
Front
Calculate f(5) for f(x) = 3x² - 9x - 20.
Back
f(5) = 10.
4.
FLASHCARD QUESTION
Front
What is the remainder when a³ - 4 is divided by a + 2?
Back
The remainder is -12.
5.
FLASHCARD QUESTION
Front
Is (x - 7) a factor of (x² - 5x + 14)?
Back
No, (x - 7) is not a factor.
6.
FLASHCARD QUESTION
Front
What is synthetic division?
Back
Synthetic division is a simplified form of polynomial long division that is used when dividing by a linear factor.
7.
FLASHCARD QUESTION
Front
What is the result of (2x³ - 5x² + 3x + 7) ÷ (x - 2)?
Back
The result is 2x² - x + 1 + 9/(x - 2).
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