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: $=x^2+5x+7+\frac{3x-3}{4x^2-1}$

Step-by-step explanation:

$\frac{4x^4+20x^3+27x^2-2x-10}{4x^2-1}$

$=x^2+\frac{20x^3+28x^2-2x-10}{4x^2-1}$

$=x^2+5x+\frac{28x^2+3x-10}{4x^2-1}$

$=x^2+5x+7+\frac{3x-3}{4x^2-1}$