Question

X4+x3+7x2-6x+8 / x2+2x+8

Answer 1

The Final answer will be
`x^2-x+1` with remainder 0.

Explanation:

We have attached the division for your reference.

Given:

Dividend =
`x^4+x^3+7x^2-6x+8`

Divisor =
`x^2+2x+8`

Explaining the division we get;

Step 1: First when we divide the Dividend
`x^4+x^3+7x^2-6x+8` with divisor
`x^2+2x+8` we will first multiply
`x^2` with the divisor then we get the Quotient as
`x^2` and Remainder as
`-x^3-x^2-6x+8`

Step 2: Now the Dividend is
`-x^3-x^2-6x+8` and Divisor
`x^2+2x+8` is we will now multiply
`-x` with the divisor then we get the Quotient as
`x^2-x` and Remainder as
`x^2+2x+8`

Step 3: Now the Dividend is
`x^2+2x+8` and Divisor is
`x^2+2x+8` we will now multiply 1 with the divisor then we get the Quotient as
`x^2-x+1` and Remainder as 0.

Hence The Final answer will be
`x^2-x+1` with remainder 0.