Question

Find the quotient and remainder using synthetic division.−x2 + x − 7x + 1quotient remainder

Answer 1

Given:

`\begin{gathered} -x^2+x-7 \\ x+1 \end{gathered}`

Required:

To find the quotient and remainder using synthetic division.

Step-by-step explanation:

Consider

`\begin{gathered} x+1=0 \\ x=-1 \end{gathered}`
`\begin{gathered} -1|-1\text{ }+1\text{ }-7 \\ \text{ }|\text{ }+1\text{ }-2 \\ ------------------- \\ \text{ }-1\text{ }+2\text{ }-9 \\ \end{gathered}`
`-x+2-(9)/(x+1)`

Here the quotient is

`-x+2`

And the remainder is

`-9`

Final Answer:

Quotient :

`-x+2`

Remainder : -9.