Here are the essential concepts you must grasp in order to answer the question correctly.
Polynomial Definition
A polynomial is a mathematical expression consisting of variables raised to non-negative integer powers, combined using addition, subtraction, and multiplication. Each term in a polynomial is formed by multiplying a coefficient (a constant) by a variable raised to a power. For example, -7z^5, -2z^3, and 1 are terms of a polynomial.
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Degree of a Polynomial
The degree of a polynomial is the highest power of the variable in the expression. It indicates the polynomial's behavior and the number of roots it can have. For instance, in the polynomial -7z^5 - 2z^3 + 1, the degree is 5, as the term with the highest exponent is -7z^5.
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Types of Polynomials
Polynomials can be classified based on the number of terms they contain. A monomial has one term, a binomial has two terms, and a trinomial has three terms. For example, -7z^5 is a monomial, while -7z^5 - 2z^3 + 1 is a trinomial, as it contains three distinct terms.
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