Question Factor the expression (x−1)(x4+x3+x2+x+1) Evaluate x5−1Calculate x5+x4+x3+x2+x−x4−x3−x2−x−1Rewrite the expression x×x4+x×x3+x×x2+x×x+x−x4−x3−x2−x−1Factor out x from the expression x(x4+x3+x2+x+1)−x4−x3−x2−x−1Factor out −1 from the expression x(x4+x3+x2+x+1)−(x4+x3+x2+x+1)Solution (x−1)(x4+x3+x2+x+1) Show Solution Find the roots x=1 Evaluate x5−1To find the roots of the expression,set the expression equal to 0 x5−1=0Move the constant to the right-hand side and change its sign x5=0+1Removing 0 doesn't change the value,so remove it from the expression x5=1Take the 5-th root on both sides of the equation 5x5=51Calculate x=51Solution x=1 Show Solution
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