Multiplying a polynomial by a polynomial
Multiplying a polynomial by a polynomial
Each term of the first factor is multiplied by each term of the second factor. The product is marked by adding the results of each multiplication together.[[$ (a+b)(c+d) = ac +ad + bc+ bd $]]
Note! The terms are multiplied in this order: first, outermost, innermost, and last.
Negligence errors can occur easily when multiplying polynomials,. Remember that each term also has a sign in front of it.
Example 2
Multiply the binomial and the trinomial.
![The + and - signs are determined by the signs of the factors that are multiplied (+2x - 1).](https://peda.net/qis/2022-2023/mathematics/ematematiikka-722/oipjp/1pkp/pkp/7:file/photo/3c8a72680f5cab61a1de4f9d497c7617aefb807f/16_example2.png)