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- https://math.libretexts.org/Courses/Prince_Georges_Community_College/MAT_1350%3A_Precalculus_Part_I/01%3A_Prerequisites/1.04%3A_PolynomialsIn this section, we will examine polynomials, which are sums of or differences of terms, each consisting of a variable raised to a nonnegative integer power.
- https://math.libretexts.org/Courses/Hawaii_Community_College/Hawaii_Community_College_MA82X_Textbook/06%3A_Polynomial_Functions
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_333%3A_Introduction_to_College_Algebra/01%3A_Prerequisites/1.04%3A_PolynomialsNotice that the first term of each trinomial is the square of the first term of the binomial and, similarly, the last term of each trinomial is the square of the last term of the binomial. When a bino...Notice that the first term of each trinomial is the square of the first term of the binomial and, similarly, the last term of each trinomial is the square of the last term of the binomial. When a binomial is multiplied by a binomial with the same terms separated by the opposite sign, the result is the square of the first term minus the square of the last term.
- https://math.libretexts.org/Workbench/1250_Draft_4/01%3A_Prerequisites/1.05%3A_PolynomialsNotice that the first term of each trinomial is the square of the first term of the binomial and, similarly, the last term of each trinomial is the square of the last term of the binomial. When a bino...Notice that the first term of each trinomial is the square of the first term of the binomial and, similarly, the last term of each trinomial is the square of the last term of the binomial. When a binomial is multiplied by a binomial with the same terms separated by the opposite sign, the result is the square of the first term minus the square of the last term.
- https://math.libretexts.org/Courses/De_Anza_College/Linear_Algebra%3A_A_First_Course/07%3A_Vector_Spaces/7.05%3A_SubspacesIn this section we will examine the concept of subspaces introduced earlier in terms of Rn. Here, we will discuss these concepts in terms of abstract vector spaces.
- https://math.libretexts.org/Courses/De_Anza_College/Calculus_I%3A_Differential_Calculus/01%3A_Functions_and_GraphsIn this chapter, we review all the functions necessary to study calculus. We define polynomial, rational, trigonometric, exponential, and logarithmic functions. We review how to evaluate these functio...In this chapter, we review all the functions necessary to study calculus. We define polynomial, rational, trigonometric, exponential, and logarithmic functions. We review how to evaluate these functions, and we show the properties of their graphs. We provide examples of equations with terms involving these functions and illustrate the algebraic techniques necessary to solve them. In short, this chapter provides the foundation for the material to come.
- https://math.libretexts.org/Courses/Southwestern_College/Business_Calculus/02%3A_Unit_2-_Pre-Calculus_and_Limits/2.01%3A_2.1(a)-_PolynomialsIn part (a) of lesson 2.1, we review the definition of a polynomial, and basic operations with polynomials (add, subtract, and multiply). In part (b) we review how to factor polynomials. Finally, in p...In part (a) of lesson 2.1, we review the definition of a polynomial, and basic operations with polynomials (add, subtract, and multiply). In part (b) we review how to factor polynomials. Finally, in part (c) we review how factoring is used to simplify rational expressions.
- https://math.libretexts.org/Bookshelves/Algebra/Advanced_Algebra/01%3A_Algebra_Fundamentals/1.06%3A_Polynomials_and_Their_OperationsA polynomial is a special algebraic expression with terms that consist of real number coefficients and variable factors with whole number exponents.
- https://math.libretexts.org/Courses/Angelo_State_University/Finite_Mathematics/01%3A_Algebra_Essentials/1.04%3A_PolynomialsIn this section, we will examine expressions such as this one, which combine several variable terms.
- https://math.libretexts.org/Workbench/Algebra_and_Trigonometry_2e_(OpenStax)/01%3A_Prerequisites/1.05%3A_PolynomialsIn this section, we will examine polynomials, which are sums of or differences of terms, each consisting of a variable raised to a nonnegative integer power.
- https://math.libretexts.org/Courses/De_Anza_College/Introductory_Differential_Equations/03%3A_Higher_order_linear_ODEs/3.02%3A_The_Method_of_Undetermined_Coefficients_IThis section present the method of undetermined coefficients, which can be used to solve nonhomogeneous equations of the form ay''+by'+cy=F(x) where a, b, and c are constants and F(x) has a special ...This section present the method of undetermined coefficients, which can be used to solve nonhomogeneous equations of the form ay''+by'+cy=F(x) where a, b, and c are constants and F(x) has a special form that is still sufficiently general to occur in many applications. This sections makes extensive use of the idea of variation of parameters introduced previously.