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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: x4−4x3y+6x2y2−4xy3+y4The coefficients of x4−4x3y+6x2y2−4xy3+y4 are 1, −4, 6, −4, and 1.
- https://math.libretexts.org/Bookshelves/Applied_Mathematics/Developmental_Math_(NROC)/12%3A_Factoring/12.02%3A_Factoring_Polynomials/12.2.01%3A_Factoring_TrinomialsNote that if you wrote x2+5x+6 as x2+3x+2x+6 and grouped the pairs as (x2+3x)+(2x+6), then factored, x(x+3)+2(x+3), and factored out x+3, the ans...Note that if you wrote x2+5x+6 as x2+3x+2x+6 and grouped the pairs as (x2+3x)+(2x+6), then factored, x(x+3)+2(x+3), and factored out x+3, the answer would be (x+3)(x+2). It means that in trinomials of the form x2+bx+c (where the coefficient in front of x2 is 1), if you can identify the correct r and s values, you can effectively skip the grouping steps and go right to the factored form.
- 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/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.
