find the quotient following this pattern
image attached

Answer:
x⁵ +x⁴ +x³ +x² +x +1
Step-by-step explanation:
Your expression matches the pattern with n=6, so fill in that value of n in the quotient the pattern shows:
[tex]\dfrac{x^6-1}{x-1}=x^5+x^4+x^3+x^2+x+1[/tex]