Divide using long division. (2x^(3) +5x^(2) -7x+6) ÷ (x^(2) +3x-4)

Question

Divide using long division.


`(2x^(3) +5x^(2) -7x+6)` ÷
`(x^(2) +3x-4)`

Answer 1

The quotient = 2x - 1 and the remainder = 4x + 2

Explanation:

`(2x^(3)+5x^(2)-7x+6)/(x^(2)+3x-4)=2x+(-x^(2)+x+6)/(x^(2)+3x-4)`

`(-x^(2)+x+6 )/(x^(2)+3x-4)=-1+(4x+2)/(x^(2)+3x-4)`

The quotient = 2x - 1 and the remainder = 4x + 2