
Alg2 Polynomial Remainder Theorem
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Polynomial Remainder Theorem?
Back
The Polynomial Remainder Theorem states that when a polynomial f(x) is divided by (x - c), the remainder of this division is equal to f(c).
Tags
CCSS.HSA.APR.B.2
2.
FLASHCARD QUESTION
Front
How do you find f(5) for f(x) = 3x² - 9x - 20 using synthetic division?
Back
To find f(5), use synthetic division with 5. The result is 10.
Tags
CCSS.HSA.APR.D.6
3.
FLASHCARD QUESTION
Front
What is synthetic division?
Back
Synthetic division is a simplified form of polynomial long division that is used specifically for dividing by linear factors of the form (x - c).
Tags
CCSS.HSA.APR.D.6
4.
FLASHCARD QUESTION
Front
If f(x) = 3x³ - 5x² - 4x + 1, what is the remainder when divided by (x + 3)?
Back
The remainder is -113.
Tags
CCSS.HSA.APR.B.2
5.
FLASHCARD QUESTION
Front
What is the remainder when a³ - 4 is divided by a + 2?
Back
The remainder is -12.
Tags
CCSS.HSA.APR.B.2
6.
FLASHCARD QUESTION
Front
What does the remainder represent in polynomial division?
Back
The remainder represents the value of the polynomial at the root of the divisor, indicating how much is left over after division.
Tags
CCSS.HSA.APR.B.2
7.
FLASHCARD QUESTION
Front
How can you verify the result of polynomial division?
Back
You can verify the result by multiplying the quotient by the divisor and adding the remainder; it should equal the original polynomial.
Tags
CCSS.HSA.APR.D.6
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