Mon Dec 2.... Dividing Polynomials Flashcard
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a polynomial?
Back
A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients. For example, 2x^3 + 5x^2 + 9 is a polynomial.
2.
FLASHCARD QUESTION
Front
What is the degree of a polynomial?
Back
The degree of a polynomial is the highest power of the variable in the polynomial. For example, in the polynomial 2x^3 + 5x^2 + 9, the degree is 3.
3.
FLASHCARD QUESTION
Front
What is synthetic division?
Back
Synthetic division is a simplified method of dividing a polynomial by a linear divisor of the form (x - c). It is faster and requires less writing than long division.
4.
FLASHCARD QUESTION
Front
What is long division in polynomials?
Back
Long division in polynomials is a method used to divide a polynomial by another polynomial, similar to long division with numbers.
5.
FLASHCARD QUESTION
Front
How do you find the width of a rectangle if you know the area and one side?
Back
To find the width, divide the area by the known length. For example, if the area is x^2 + 14x + 40 and the length is x + 4, the width is (x^2 + 14x + 40) / (x + 4).
6.
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 that division is f(c).
7.
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.
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