In this section we learn how to multiply one polynomial function by another polynomial. The method involves a two-way table and is a more efficient and more reliable (less prone to error) than "simple" distribution.
For instance, by the end of this section we'll know how to quickly write all of the terms in the product: \[\begin{pmatrix} 3x^5 - 2x^3 + x^2 - 3x + 10\end{pmatrix} . \begin{pmatrix} 2x^4 + 3x^2 - 7x - 5 \end{pmatrix} \] The method is explained in the following tutorial.
We learn the method for multiplying two polynomials together by working through an example in which we expand and simplify the following: \[\begin{pmatrix}2x^5 - 3x^3 + 4x^2 + x - 3 \end{pmatrix}. \begin{pmatrix} x^3 + 2x^2 + 4x - 5 \end{pmatrix}\]
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