Remainder Theorem & Factor Theorem

Flashcard
•
Mathematics
•
10th - 12th Grade
•
Hard
Standards-aligned
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15 questions
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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).
Tags
CCSS.HSA.APR.B.2
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.
Tags
CCSS.HSA.APR.B.2
3.
FLASHCARD QUESTION
Front
How do you find the remainder of a polynomial when divided by a linear factor?
Back
To find the remainder of a polynomial f(x) when divided by (x - c), evaluate f(c).
Tags
CCSS.HSA.APR.B.2
4.
FLASHCARD QUESTION
Front
What is the significance of the Remainder Theorem in polynomial division?
Back
The Remainder Theorem allows us to quickly find the remainder without performing full polynomial long division.
Tags
CCSS.HSA.APR.B.2
5.
FLASHCARD QUESTION
Front
If P(x) = 2x^4 + x^3 - 3x^2 - x - 15, what is P(2)?
Back
P(2) = 11.
Tags
CCSS.HSF.IF.A.2
6.
FLASHCARD QUESTION
Front
Is (x - 3) a factor of the polynomial x^3 - 3x^2 + 2x + 2?
Back
No, (x - 3) is not a factor.
Tags
CCSS.HSA.APR.B.2
7.
FLASHCARD QUESTION
Front
What is the result of dividing 3x^3 - 5x^2 - 4x + 1 by (x + 3)?
Back
The remainder is -113.
Tags
CCSS.HSA.APR.B.2
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