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- https://math.libretexts.org/Bookshelves/Precalculus/Corequisite_Companion_to_Precalculus_(Freidenreich)/1%3A_Simplifying_Expressions/1.02%3A_FOIL_Method_and_Special_ProductsIn this section, examples are given for multiplying a binomial (2-term polynomial) to another binomial. In some cases, the FOIL method yields predictable patterns. We call these “special products.” Re...In this section, examples are given for multiplying a binomial (2-term polynomial) to another binomial. In some cases, the FOIL method yields predictable patterns. We call these “special products.” Recognizing special products will be useful when we turn to solving quadratic equations
- 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: x4−4x3y+6x2y2−4xy3+y4The coefficients of x4−4x3y+6x2y2−4xy3+y4 are 1, −4, 6, −4, and 1.
- 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/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: x4−4x3y+6x2y2−4xy3+y4The coefficients of x4−4x3y+6x2y2−4xy3+y4 are 1, −4, 6, −4, and 1.
- https://math.libretexts.org/Bookshelves/Mathematical_Logic_and_Proof/Gentle_Introduction_to_the_Art_of_Mathematics_(Fields)/07%3A_Proof_Techniques_III_-_Combinatorics/7.04%3A_The_Algebra_of_CombinationsA binomial is a polynomial with two terms. It seems likely that you will have already seen the arrangement of these binomial coefficients into a triangular array – known as Pascal’s triangle. The thin...A binomial is a polynomial with two terms. It seems likely that you will have already seen the arrangement of these binomial coefficients into a triangular array – known as Pascal’s triangle. The thing that makes this triangle so nice and that leads to the strange name “binomial coefficients” for the number of k-combinations of an n-set is that you can use the triangle to (very quickly) compute powers of binomials.
- https://math.libretexts.org/Bookshelves/Algebra/Elementary_Algebra_(Arnold)/05%3A_Polynomial_Functions/5.02%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.
