Question

Solve $m^5+m^4+m^3+m^2+m+1=(m^3+1)\times$______________

• A. $m^5+m^4+m^2+m$
• B. $m^2+m^3$
• C. $m^3+m^3+m+1$
• D. $m^2+m+1$

Answer 1

The correct option is D $m^2+m+1$

$m^5+m^4+m^3+m^2+m+1=(m^5+m^4+m^3)+(m^2+m+1)$
$=m^3(m^2+m+1)+1(m^2+m+1)$
$=(m^3+1)(m^2+m+1)$
Option D is correct.