QuestionPart 1 of 3
Use a table to find the product of $(3 x+4)\left(x^{2}+3 x-2\right)$. How are the like terms in a table arranged?
Complete the table below. \begin{tabular}{|c|c|c|c|} \hline & $x^{2}$ & $+3 x$ & -2 \\ \hline $3 x$ & $\square$ & $\square$ & $\square$ \\ \hline+4 & $\square$ & $\square$ & $\square$ \\ \hline \end{tabular} (Simplify your answers.) Video Textbook Get more help -

Studdy Solution
Let's explain how like terms are arranged in the table:
1. Like terms are terms with the same variable raised to the same power.
2. In this table, like terms appear in the same column: - The $x^3$ terms are in the first column - The $x^2$ terms are in the first and second columns - The $x$ terms are in the second and third columns - The constant terms are in the third column
3. This arrangement makes it easier to combine like terms when we add all the terms to get the final product.