Question

x⁴+1 by x+1 ( Long division of polynomials).Please if anyone knows the answer of this question please let mr know.....if you want points and waste my time your answer will be reported...​

Answer 1

${x}^{3} - {x}^{2} + x - 1 + \frac{2}{x + 1}$

lmk if u want an explanation for this I can try type it out

Answer 2

Answer:

$x^3-x^2+x-1+\frac{2}{x+1}$

Step-by-step explanation:

See the picture attached.

Notice how I set up $x^4+1$ as $x^4+0x^3+0x^2+0x+1$, as it makes it easier to solve.

Also, notice that the 2 as the remainder doesn't have anything else to divide to, so that means there will be an extra term $\frac{2}{x+1}$ in the end of the answer.