Factor and Remainder Theorem

Flashcard
•
Mathematics
•
12th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Factor Theorem?
Back
The Factor Theorem states that a polynomial f(x) has a factor (x - c) if and only if f(c) = 0.
Tags
CCSS.HSA.APR.B.2
2.
FLASHCARD QUESTION
Front
What is the Remainder Theorem?
Back
The Remainder Theorem states that when a polynomial f(x) is divided by (x - c), the remainder of that division is f(c).
Tags
CCSS.HSA.APR.B.2
3.
FLASHCARD QUESTION
Front
How do you perform synthetic division?
Back
Synthetic division is a simplified form of polynomial long division. It involves using the coefficients of the polynomial and the value of c to find the quotient and remainder.
Tags
CCSS.HSA.APR.D.6
4.
FLASHCARD QUESTION
Front
What is the result of dividing (2x^3 + 5x^2 + 9) by (x + 3)?
Back
The result is 2x^2 - x + 3.
Tags
CCSS.HSA.APR.D.6
5.
FLASHCARD QUESTION
Front
Is (x - 3) a factor of (x^3 - 3x^2 + 2x + 2)?
Back
No, (x - 3) is not a factor.
Tags
CCSS.HSA.APR.B.2
6.
FLASHCARD QUESTION
Front
What is the value of f(-3) for f(x) = (3x^3 - 5x^2 - 4x + 1) using synthetic division?
Back
The value is -113.
Tags
CCSS.HSA.APR.D.6
7.
FLASHCARD QUESTION
Front
How do you find f(5) for f(x) = 3x^2 - 9x - 20 using synthetic division?
Back
By substituting x = 5, the value is 10.
Tags
CCSS.HSA.APR.D.6
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