Question

Use the long division method to find the result when 4x^4+20x^3+27x^2−2x−10 is divided by 4x ^2-1

Answer 1

Answer:
`=x^2+5x+7+(3x-3)/(4x^2-1)`

Explanation:

`(4x^4+20x^3+27x^2-2x-10)/(4x^2-1)`

`=x^2+(20x^3+28x^2-2x-10)/(4x^2-1)`

`=x^2+5x+(28x^2+3x-10)/(4x^2-1)`

`=x^2+5x+7+(3x-3)/(4x^2-1)`