Question

Use the long division method to find the result when 4x3 -2x2 – 15x + 6 is
divided by x-2

Answer 1

`4x^2+6x-3`

Explanation:

"/" substitutes the normal division symbol

`4x^2`
`+6x`
`-3`

______________

`x-2/4x^3-2x^2-15x+6`

`4x^3`
`-8x^2`

______________________

`6x^2`
`-12x`

______________________

`-3x+6`

x multiplied by what equals
`4x^3`?
`x(4x^2)=4x^3`, so the first number that goes on top is
`4x^2`. Multiply x by
`4x^2` and put it below to the
`4x^3` on the first row. Multiply x-2 by
`4x^2` and put it below the
`-2x^2` . Subtract the first row from the second row.

x multiplied by what equals
`6x^2`?
`6x`. Repeat the same process as before except with
`6x^2`