Math 3 Midterm Review Unit 6
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a factor in algebra?
Back
A factor is a number or expression that divides another number or expression evenly, without leaving a remainder.
2.
FLASHCARD QUESTION
Front
How do you determine if (x-8) is a factor of a polynomial?
Back
You can use polynomial division or the Factor Theorem, which states that (x-c) is a factor of a polynomial if the polynomial evaluates to zero at x=c.
3.
FLASHCARD QUESTION
Front
Solve for x: x^2 - 4 = 0
Back
x = 2, -2
4.
FLASHCARD QUESTION
Front
What is synthetic division?
Back
Synthetic division is a simplified form of polynomial division that is used when dividing by a linear factor of the form (x - c).
5.
FLASHCARD QUESTION
Front
If f(x) = x^3 + 8x + 24, what is f(-2) using synthetic division?
Back
f(-2) = 0 (the remainder when dividing by (x + 2)).
6.
FLASHCARD QUESTION
Front
What is the remainder theorem?
Back
The remainder theorem states that the remainder of the division of a polynomial f(x) by (x - c) is equal to f(c).
7.
FLASHCARD QUESTION
Front
Perform synthetic division on 5p^2 + 5p - 26 by p + 3.
Back
5p - 10 + \frac{4}{p + 3}.
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