Algebra 1: Chapter 10-13/Benchmark #5 Review
The Benchmark #5 review packet is just like the test for tomorrow covering Chapters 10 through 13. Bring your questions and make sure that your notes are UP TO DATE! 200 points on the line!
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Algebra 1a: Chapter 5, Lesson 5, page 221
Polynomials
Polynomials is the catch term for monomials put together with `+` or `–` signs. Polynomials with just 1 term are called “monomials”, with 2 terms they are called “binomials”, with 3 terms, they are called “trinomials”. Polynomials with more than 3 terms have no particular name.
TERMS are separated by `+` or `–` signs and the FACTORS are the things that are multiplied together to get each term. The numeric factor of a term is called a COEFFICIENT and terms with just numbers (no variables) are called CONSTANTS.
The DEGREE (or ORDER) of a term is the sum of the exponents of the variables and the degree of a polynomial is the highest degree of its terms. The term with the highest degree is called the LEADING TERM and the coefficient of the leading term is called the LEADING COEFFICIENT.
We can simplify a polynomial by collecting LIKE TERMS. Like terms MUST have the same variables in the terms AND must have the same exponent values, this part is important.
Examples:
`2m^3 − 6m^3=(2−6)m^3=−4m^3`
`5x^3 + 6x^3 + 4 = 11x^3 + 4`
Click here (there are 2 pages) for some examples.
Two of tonight’s homework problems solved by MrE are here! Just click it!