1
Section 10-1
: Polynomials
A
monomial
isanumber,avariable,ora
productofnumbersandvariableswithwhole
numberexponents.
The
degreeofamonomial
isthesumofthe
exponentsofthevariables.Aconstanthas
degree0.
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Polynomials: Degree, Terms, and Classification, Exams of Elementary Mathematics
The basics of polynomials, including definitions of monomials and polynomials, finding the degree of monomials and polynomials, and writing polynomials in standard form. It also introduces special names for polynomials based on degree and number of terms.
What you will learn
- How do you write a polynomial in standard form?
- What is a monomial?
- How do you find the degree of a monomial?
- How do you find the degree of a polynomial?
- What is a polynomial?
Typology: Exams
2021/2022
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Section 10-1: Polynomials A monomial is a number, a variable, or a product of numbers and variables with whole number exponents. The degree of a monomial is the sum of the exponents of the variables. A constant has degree 0.
EX. 1 : Find the degree of each monomial. B. 7 ed C. 3 D.^ 3x 4
A polynomial is a monomial or a sum or difference of monomials. The degree of a polynomial is the degree of the term with the greatest degree.
EX. 2 : Find the degree of each polynomial. A. 11 x^7 + 3 x^3 C. 5 x – 6 B. 3x^2 5x (^3) 2x + 4
EX. 3 : Write the polynomial in standard form. Then give the leading coefficient. A) 6 x – 7 x^5 + 4 x^2 + 9 B) y^2 + y^6 − 3 y C) 16 – 4 x^2 + x^5 +^9 x^3
Some polynomials have special names based on their degree and the number of terms they have. Looking at the degree of the polynomial: Looking at the number of terms in the polynomial: Example Example