Polynomials
Flashcard
•
Mathematics
•
8th - 9th Grade
•
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 that consists of variables, coefficients, and non-negative integer exponents. For example, 2x^2 + 3x - 5 is a polynomial.
2.
FLASHCARD QUESTION
Front
What does it mean to factor a polynomial?
Back
Factoring a polynomial means expressing it as a product of its factors, which are polynomials of lower degrees.
3.
FLASHCARD QUESTION
Front
What is the standard form of a polynomial?
Back
The standard form of a polynomial is written in descending order of the degree of its terms. For example, 4x^3 + 2x^2 - x + 7.
4.
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 expression. For example, in 3x^4 + 2x^2, the degree is 4.
5.
FLASHCARD QUESTION
Front
What is the leading coefficient of a polynomial?
Back
The leading coefficient is the coefficient of the term with the highest degree in a polynomial. For example, in 5x^3 + 2x^2, the leading coefficient is 5.
6.
FLASHCARD QUESTION
Front
How do you multiply two binomials?
Back
To multiply two binomials, use the distributive property (FOIL method): First, Outer, Inner, Last. For example, (x + 2)(x + 3) = x^2 + 5x + 6.
7.
FLASHCARD QUESTION
Front
What is the difference of squares?
Back
The difference of squares is a special factoring pattern: a^2 - b^2 = (a + b)(a - b). For example, x^2 - 49 = (x + 7)(x - 7).
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