Characteristics of polynomials
Intros
Lessons
- What is a polynomial?
- Review on Variables, Coefficients, and Expressions
- What are Monomials, Binomials, and Trinomials?
- What are the Degree, Leading Term, and Constant term of a polynomial?
- Name polynomials based on degree: Quadratic, Cubic, Quartic, Quintic, etc.
- How to find the degree of a polynomial?
Examples
Lessons
- Determine the number of terms and the name for each of the expression.
- Find the degree and number of terms for each of the following expression.
- Write the expression for each set of the algebra tiles.
- Peter wants to buy some comic books and magazines. A bookstore sells comic books for $12 each and magazines for $8 each.
- Write an expression to represent the money Peter needs to spend on both comic books and magazines.
- How much does Peter need to spend if he wants 9 comic books and 3 magazines?
- Write a new expression for Peter's expenditure on books if the bookstore raises the price of a comic book to $15 and a magazine to $10.
Practice
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Topic Notes
A polynomial consists of constants, variables and exponents. Polynomials are named based on the number of terms they have. Polynomials with 1 term are called monomials. Those with 2 terms are called binomials, and the ones with 3 terms are called trinomials.
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