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- https://math.libretexts.org/Bookshelves/Algebra/Book%3A_Arithmetic_and_Algebra_(ElHitti_Bonanome_Carley_Tradler_and_Zhou)/01%3A_Chapters/1.09%3A_PolynomialsA polynomial is a sum of monomials. A polynomial with one term is called a monomial. A polynomial with two terms is called a binomial. A polynomial with three terms is called a trinomial. It has three...A polynomial is a sum of monomials. A polynomial with one term is called a monomial. A polynomial with two terms is called a binomial. A polynomial with three terms is called a trinomial. It has three terms
- https://math.libretexts.org/Courses/Hawaii_Community_College/Hawaii_Community_College_MA82X_Textbook/06%3A_Polynomial_Functions/6.02%3A_PolynomialsA polynomial is a many-termed mathematical expression, with terms separated by plus or minus signs. The coefficients of a polynomial are the coefficients of its terms.
- https://math.libretexts.org/Courses/Highline_College/MATHP_141%3A_Corequisite_Precalculus/02%3A_Algebra_Support/2.03%3A_Polynomial_ExpressionsHowever, because the word polynomial means “many terms,” we can also use the word polynomial to describe mathematical expressions with more than three terms, such as: \[x^{4}-4 x^{3} y+6 x^{2} y^{2}-4...However, because the word polynomial means “many terms,” we can also use the word polynomial to describe mathematical expressions with more than three terms, such as: \[x^{4}-4 x^{3} y+6 x^{2} y^{2}-4 x y^{3}+y^{4} \nonumber \]The coefficients of \(x^{4}-4 x^{3} y+6 x^{2} y^{2}-4 x y^{3}+y^{4}\) are \(1\), \(−4\), \(6\), \(−4\), and \(1\).
- https://math.libretexts.org/Bookshelves/Algebra/Intermediate_Algebra_1e_(OpenStax)/05%3A_Polynomial_and_Polynomial_Functions/5.02%3A_Add_and_Subtract_PolynomialsWe have learned how to simplify expressions by combining like terms. Remember, like terms must have the same variables with the same exponent. Since monomials are terms, adding and subtracting monomia...We have learned how to simplify expressions by combining like terms. Remember, like terms must have the same variables with the same exponent. Since monomials are terms, adding and subtracting monomials is the same as combining like terms. If the monomials are like terms, we just combine them by adding or subtracting the coefficients.
- https://math.libretexts.org/Courses/Monroe_Community_College/MTH_104_Intermediate_Algebra/5%3A_Polynomial_and_Polynomial_Functions/5.2%3A_Add_and_Subtract_PolynomialsWe have learned how to simplify expressions by combining like terms. Remember, like terms must have the same variables with the same exponent. Since monomials are terms, adding and subtracting monomia...We have learned how to simplify expressions by combining like terms. Remember, like terms must have the same variables with the same exponent. Since monomials are terms, adding and subtracting monomials is the same as combining like terms. If the monomials are like terms, we just combine them by adding or subtracting the coefficients.
- https://math.libretexts.org/Courses/Highline_College/Math_098%3A_Intermediate_Algebra_for_Calculus/02%3A_Chapter_2_-_Polynomials/2.01%3A_Polynomial_FunctionsThe root word “poly” means “many,” as in polygon (many sides) or polyglot (speaking many languages—multilingual). In algebra, the word polynomial means “many terms,” where the phrase “many terms” can ...The root word “poly” means “many,” as in polygon (many sides) or polyglot (speaking many languages—multilingual). In algebra, the word polynomial means “many terms,” where the phrase “many terms” can be construed to mean anywhere from one to an arbitrary, but finite, number of terms. Consequently, a monomial could be considered a polynomial, as could binomials and trinomials. In our work, we will concentrate for the most part on polynomials of a single variable.
- https://math.libretexts.org/Bookshelves/Precalculus/Corequisite_Companion_to_Precalculus_(Freidenreich)/2%3A_Polynomials/2.01%3A_The_Anatomy_of_a_PolynomialPolynomials are a class of functions that are studied in calculus because they are predictable in their behavior. They are smooth, continuous curves when graphed. They are fairly easy to graph, find r...Polynomials are a class of functions that are studied in calculus because they are predictable in their behavior. They are smooth, continuous curves when graphed. They are fairly easy to graph, find roots, and calculate outputs for real-number inputs. Polynomials will continue to be relevant to all of your math and science courses going forward!
- https://math.libretexts.org/Bookshelves/Algebra/Intermediate_Algebra_(Arnold)/06%3A_Polynomial_Functions/6.01%3A_Polynomial_FunctionsThe root word “poly” means “many,” as in polygon (many sides) or polyglot (speaking many languages—multilingual). In algebra, the word polynomial means “many terms,” where the phrase “many terms” can ...The root word “poly” means “many,” as in polygon (many sides) or polyglot (speaking many languages—multilingual). In algebra, the word polynomial means “many terms,” where the phrase “many terms” can be construed to mean anywhere from one to an arbitrary, but finite, number of terms. Consequently, a monomial could be considered a polynomial, as could binomials and trinomials. In our work, we will concentrate for the most part on polynomials of a single variable.
- https://math.libretexts.org/Courses/Coastline_College/Math_C097%3A_Support_for_Precalculus_Corequisite%3A_MATH_C170/1.02%3A_Algebra_Support/1.2.03%3A_Polynomial_ExpressionsHowever, because the word polynomial means “many terms,” we can also use the word polynomial to describe mathematical expressions with more than three terms, such as: \[x^{4}-4 x^{3} y+6 x^{2} y^{2}-4...However, because the word polynomial means “many terms,” we can also use the word polynomial to describe mathematical expressions with more than three terms, such as: \[x^{4}-4 x^{3} y+6 x^{2} y^{2}-4 x y^{3}+y^{4} \nonumber \]The coefficients of \(x^{4}-4 x^{3} y+6 x^{2} y^{2}-4 x y^{3}+y^{4}\) are \(1\), \(−4\), \(6\), \(−4\), and \(1\).
- https://math.libretexts.org/Bookshelves/Precalculus/Precalculus_(Tradler_and_Carley)/08%3A_Dividing_PolynomialsThe first class of functions that we discuss are polynomials and rational functions. Let us first recall the definition of polynomials and rational functions.
- https://math.libretexts.org/Under_Construction/Purgatory/MAT_1320_Finite_Mathematics/02%3A_More_About_Functions/2.05%3A_Polynomial_FunctionsThe root word “poly” means “many,” as in polygon (many sides) or polyglot (speaking many languages—multilingual). In algebra, the word polynomial means “many terms,” where the phrase “many terms” can ...The root word “poly” means “many,” as in polygon (many sides) or polyglot (speaking many languages—multilingual). In algebra, the word polynomial means “many terms,” where the phrase “many terms” can be construed to mean anywhere from one to an arbitrary, but finite, number of terms. Consequently, a monomial could be considered a polynomial, as could binomials and trinomials. In our work, we will concentrate for the most part on polynomials of a single variable.
