Question Factor the expression (c−1)(c4+c3+c2+c+1) Evaluate c5−1Calculate c5+c4+c3+c2+c−c4−c3−c2−c−1Rewrite the expression c×c4+c×c3+c×c2+c×c+c−c4−c3−c2−c−1Factor out c from the expression c(c4+c3+c2+c+1)−c4−c3−c2−c−1Factor out −1 from the expression c(c4+c3+c2+c+1)−(c4+c3+c2+c+1)Solution (c−1)(c4+c3+c2+c+1) Show Solution Find the roots c=1 Evaluate c5−1To find the roots of the expression,set the expression equal to 0 c5−1=0Move the constant to the right-hand side and change its sign c5=0+1Removing 0 doesn't change the value,so remove it from the expression c5=1Take the 5-th root on both sides of the equation 5c5=51Calculate c=51Solution c=1 Show Solution