Be able to determine the degree of a polynomial.
Be able to classify a polynomial.
Be able to write a polynomial in standard form.
Monomial: A number, a variable or the product of a number and one or more variables.
Polynomial: A monomial or a sum of monomials.
Binomial: A polynomial with exactly two terms.
Trinomial: A polynomial with exactly three terms.
Coefficient: A numerical factor in a term of an algebraic expression.
Degree of a monomial: The sum of the exponents of all of the variables in the monomial.
Degree of a polynomial in one variable: The largest exponent of that variable.
Standard form: When the terms of a polynomial are arranged from the largest exponent to the smallest exponent in decreasing order.
What is the degree of the monomial?
The degree of a monomial is the sum of the exponents of the variables in the monomial.
The exponents of each variable are 4 and 2. 4+2 = 6.
The degree of the monomial is 6.
The monomial can be referred to as a sixth degree monomial.
A polynomial is a monomial or the sum of monomials
Each monomial in a polynomial is a term of the polynomial.
The number factor of a term is called the coefficient.
The coefficient of the first term in a polynomial is the lead coefficient.
A polynomial with two terms is called a binomial.
A polynomial with three terms is called a trinomial.
Polynomials in One Variable
The degree of a polynomial in one variable is the largest exponent of that variable.
A constant has no variable. It is a 0 degree polynomial.
This is a 1st degree polynomial. 1st degree polynomials are linear.
This is a 2nd degree polynomial. 2nd degree polynomials are quadratic.
This is a 3rd degree polynomial. 3rd degree polynomials are cubic.
Classify the polynomials by degree and number of terms.
Classify by degree
Classify by number of terms