Question

PLEASE HELP!

Determine the terms and the coefficients of the terms for the
polynomial

x^2-3x+2

Complete the table for the polynomial

Answer 1

Answers in bold

`\begin{array}c \cline{1-2}\text{Term} & \text{Coefficient}\\\cline{1-2}\text{x}^2 & \boldsymbol{1}\\\cline{1-2}\boldsymbol{-3\textbf{x}} & -3\\\cline{1-2}2 & \boldsymbol{2}\\\cline{1-2}\end{array}`

Step-by-step explanation:

The given expression
`\text{x}^2-3\text{x}+2` is the same as
`\text{x}^2+(-3\text{x})+2`

This leads to the three terms as shown in the table above. Each term is separated by a plus sign.

The coefficient is the number to the left of the variable. Think of
`\text{x}^2` as
`1\text{x}^2` and think of
`2` as
`2\text{x}^0`

In other words,
`\text{x}^2-3\text{x}+2` is the same as
`1\text{x}^2+(-3\text{x})+2\text{x}^0`