Multiplication and Division of PolynomialsA series of free Intermediate Algebra Lessons from Brightstorm online Algebra series.
Multiplying Polynomials There are different methods for multiplying polynomials. One method is to use an area model, but another way to multiply polynomials without having to draw diagrams, is to multiply polynomials using distribution. In order to understand multiplying polynomials, we need knowledge of multiplying monomials and binomials and to know the rules of multiplying exponents.
Multiplying Complicated Polynomials When multiplying polynomials, sometimes we come across complicated polynomials that we can use substitution and multiplication to solve. When we have a trinomial where a binomial follows the (a-b)(a+b) format, simply substitute the entire binomial in for one of the variables and simplify.
Dividing Polynomials Long Division When dividing polynomials, we can use either long division or synthetic division to arrive at an answer. Using long division, dividing polynomials is easy. We simply write the fraction in long division form by putting the divisor outside of the bracket and the divided inside the bracket. After the polynomial division is set up, we follow the same process as long division with numbers.
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