What is the Remainder Theorem?
Remainder and factor theorem

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•
Mathematics
•
9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
Back
The Remainder Theorem states that when a polynomial f(x) is divided by (x - c), the remainder 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
How do you determine if (x - 4) is a factor of f(x) = x³ + x² - 16x - 16?
Back
Evaluate f(4). If f(4) = 0, then (x - 4) is a factor.
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
Which binomial is a factor of f(x) = x³ - 6x² + 3x + 10?
Back
The factor is x + 1.
6.
FLASHCARD QUESTION
Front
What is a cubic polynomial?
Back
A cubic polynomial is a polynomial of degree three, which can be expressed in the form f(x) = ax³ + bx² + cx + d.
7.
FLASHCARD QUESTION
Front
What is an example of a cubic binomial?
Back
An example of a cubic binomial is x³ + 5.
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