Introduction to Polynomials
Mathispower4u・5 minutes read
Polynomials consist of terms which can be numbers, variables, products, or quotients, with monomials being a type of polynomial with non-negative exponents and polynomials being sums of monomials. The degree of a term is determined by the number of variable factors or the sum of the exponents on the variables, with polynomials being classified based on the number of terms they contain.
Insights
- Terms in polynomials can be numbers, variables, products, or quotients of numbers and/or variables, showcasing the diverse forms they can take.
- Polynomials consist of monomials or sums of monomials, with the ability to rewrite subtraction as addition, leading to a structured classification based on the number of terms, such as monomials (1 term), binomials (2 terms), and trinomials (3 terms), while the degree of a term is determined by the number of variable factors or the sum of their exponents.
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Recent questions
What are terms in polynomials?
Components of polynomials like numbers, variables, products, or quotients.
What are monomials in polynomials?
Real numbers or products of variables with non-negative exponents.
How are polynomials classified?
Based on the number of terms they have.
What is the degree of a term in a polynomial?
The number of variable factors or sum of exponents on variables.
How can subtraction be rewritten in polynomials?
As addition.
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Summary
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Understanding Polynomials and Monomials
- Terms in polynomials can be numbers, variables, products, or quotients of numbers and/or variables.
- Examples of terms include 5x, -3a squared, b cubed, 1/5, -8/x squared, m/n, and 7x to the power of -3.
- Monomials are real numbers or products of variables with non-negative exponents.
- Polynomials are monomials or sums of monomials, where subtraction can be rewritten as addition.
- Polynomials can be classified based on the number of terms: monomials have 1 term, binomials have 2, and trinomials have 3.
- The degree of a term in a polynomial is the number of variable factors or the sum of the exponents on the variables.
