Question

Simplify by finding the product of the polynomials below. Then Identify the degree of your answer. When typing your answer use the carrot key ^ (press shift and 6) to indicate an exponent. Type your terms in descending order and do not put any spaces between your characters. (4m-13)(2m^2-7m+9) This simplifies to: AnswerThe degree of our simplified answer is: Answer

Answer 1

`(4m-13)(2m^2-7m+9)`
`\begin{gathered} (4m-13)(2m^2-7m+9) \\ 8m^3-28m^2+36m-26m^2+91m-117 \\ \\ \end{gathered}`
`\begin{gathered} \text{combine like terms} \\ 8m^3-28m^2-26m^2+36m+91m-117 \\ 8m^3-54m^2+127m-117 \end{gathered}`

The degree of the polynomial is the greatest power of the variable in a polynomial expression. Therefore,

`\text{The degre}e\text{ of }8m^3-54m^2+127m-117\text{ is 3}`