Speed:
This pre-algebra math tutorial from NutshellMath offers introductory homework help in working with polynomials. Polynomials are algebraic expressions assembled out of two or more monomials using addition or subtraction. Monomials are single algebraic terms combining variables and real numbers using only multiplication, some examples of monomials are 13, -2x, 124x3y2. A polynomial consisting of a sum or difference of two monomials is called a binomial (2x2 + 5x), and a polynomials consisting of the sums or differences of three monomials is called a trinomial (2x2 + 5x +7). Polynomials are important building blocks in many aspects of algebra, including rational equations.
This tutorial presents the basics of identifying, characterizing, and evaluating polynomials. When identifying polynomials, it is important to collect like terms and verify that no quotients have variables in the denominator. Polynomials and monomials will not have division by a variable. The common method of characterizing polynomials is to determine the degree of the polynomial. For a monomial, the degree is equal to the sum of the exponents of each of the variables. A polynomials degree is that of the highest degree monomial term contained in it. This tutorial also explores evaluating polynomials, or finding the value of a polynomial expression for given values for the variables. In order to evaluate a polynomial, it is necessary to substitute given values for the variables into the expression and then use the order of operations to find the value of the entire polynomial.
This tutorial explores important introductory methods for working with polynomials. Recognizing polynomials, and knowing how to evaluate for given values of variables are key skills for more advanced topics in algebra.
This pre-algebra math tutorial from NutshellMath offers introductory homework help in working with polynomials. Polynomials are algebraic expressions assembled out of two or more monomials using addition or subtraction. Monomials are single algebraic terms combining variables and real numbers using only multiplication, some examples of monomials are 13, -2x, 124x3y2. A polynomial consisting of a sum or difference of two monomials is called a binomial (2x2 + 5x), and a polynomials consisting of the sums or differences of three monomials is called a trinomial (2x2 + 5x +7). Polynomials are important building blocks in many aspects of algebra, including rational equations.
This tutorial presents the basics of identifying, characterizing, and evaluating polynomials. When identifying polynomials, it is important to collect like terms and verify that no quotients have variables in the denominator. Polynomials and monomials will not have division by a variable. The common method of characterizing polynomials is to determine the degree of the polynomial. For a monomial, the degree is equal to the sum of the exponents of each of the variables. A polynomials degree is that of the highest degree monomial term contained in it. This tutorial also explores evaluating polynomials, or finding the value of a polynomial expression for given values for the variables. In order to evaluate a polynomial, it is necessary to substitute given values for the variables into the expression and then use the order of operations to find the value of the entire polynomial.
This tutorial explores important introductory methods for working with polynomials. Recognizing polynomials, and knowing how to evaluate for given values of variables are key skills for more advanced topics in algebra.