Polynomials, Degree and Leading Coefficient – Quick Check

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Mathematics
•
10th - 12th 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 consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients. For example, 2x^2 + 3x + 1 is a polynomial.
2.
FLASHCARD QUESTION
Front
What does it mean to combine like terms in a polynomial?
Back
Combining like terms means to simplify a polynomial by adding or subtracting terms that have the same variable raised to the same power. For example, in 3x^2 + 4x + 2x^2, you can combine 3x^2 and 2x^2 to get 5x^2.
3.
FLASHCARD QUESTION
Front
What is standard form of a polynomial?
Back
The standard form of a polynomial is when the terms are arranged in descending order of their degrees. For example, 4x^3 + 2x^2 + x is in standard form.
4.
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 the polynomial 5x^3 + 2x^2 + 3, the leading coefficient is 5.
5.
FLASHCARD QUESTION
Front
How do you determine the degree of a polynomial?
Back
The degree of a polynomial is the highest power of the variable in the polynomial when it is in standard form. For example, the degree of 4x^3 + 2x^2 + 1 is 3.
6.
FLASHCARD QUESTION
Front
What is the degree of the polynomial 2x^4 + 3x^3 + x?
Back
The degree of the polynomial 2x^4 + 3x^3 + x is 4.
7.
FLASHCARD QUESTION
Front
What is the difference between a monomial, binomial, and trinomial?
Back
A monomial has one term (e.g., 3x), a binomial has two terms (e.g., 3x + 2), and a trinomial has three terms (e.g., 3x^2 + 2x + 1).
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