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- https://math.libretexts.org/Bookshelves/Algebra/Intermediate_Algebra_1e_(OpenStax)/05%3A_Polynomial_and_Polynomial_Functions/5.04%3A_Multiply_PolynomialsWe are ready to perform operations on polynomials. Since monomials are algebraic expressions, we can use the properties of exponents to multiply monomials.
- 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/6.07%3A_Special_ProductsThis section is dedicated to explaining a number of important shortcuts for multiplying binomials. These are extremely important patterns that will produce the same products computed in previous secti...This section is dedicated to explaining a number of important shortcuts for multiplying binomials. These are extremely important patterns that will produce the same products computed in previous sections. It is essential that readers practice until they become proficient using each of the patterns presented in this section.
- 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/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/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/Courses/Chabot_College/Chabot_College_College_Algebra_for_BSTEM/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/Intermediate_Algebra_2e_(OpenStax)/05%3A_Polynomial_and_Polynomial_Functions/5.04%3A_Multiply_PolynomialsWe are ready to perform operations on polynomials. Since monomials are algebraic expressions, we can use the properties of exponents to multiply monomials.
- 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/Kansas_State_University/Your_Guide_to_Intermediate_Algebra/04%3A_Quadratic_and_Polynomial_Functions/4.01%3A_Operations_with_PolynomialsA pair of binomials that each have the same first term and the same last term, but one is a sum and one is a difference is called a conjugate pair and is of the form (a−b), (a+b). Each first t...A pair of binomials that each have the same first term and the same last term, but one is a sum and one is a difference is called a conjugate pair and is of the form (a−b), (a+b). Each first term is the product of the first terms of the binomials, and since they are identical it is the square of the first term. The pair of binomials each have the same first term and the same last term, but one binomial is a sum and the other is a difference.
