Question

Divide the following polynomials. Then place the answer in the proper location on the grid. Write your answer in order of descending powers of x. Do not include parentheses in your answer.6x3 + 11x2 - 4x -4 / 3x - 2

Answer 1

The Final answer will be
`2x^2+5x+2` with remainder 0.

Explanation:

We have attached the division for your reference.

Given:

Dividend =
`6x^3 + 11x^2 - 4x -4`

Divisor=
`3x - 2`

Explaining the division we get;

Step 1: First when we divide the Dividend
`6x^3 + 11x^2 - 4x -4` with divisor
`3x - 2` we will first multiply
`2x^2` with the divisor then we get the Quotient as
`2x^2` and Remainder as
`15x^2-4x-4`

Step 2: Now the Dividend is
`15x^2-4x-4` and Divisor is
`3x - 2` we will now multiply
`5x` with the divisor then we get the Quotient as
`2x^2+5x` and Remainder as
`6x-4`

Step 3: Now the Dividend is
`6x-4` and Divisor is
`3x - 2` we will now multiply 2 with the divisor then we get the Quotient as
`2x^2+5x+2` and Remainder as 0.

Hence The Final answer will be
`2x^2+5x+2` with remainder 0.