Question Factor the expression (z−1)(z4+z3+z2+z+1) Evaluate z5−1Calculate z5+z4+z3+z2+z−z4−z3−z2−z−1Rewrite the expression z×z4+z×z3+z×z2+z×z+z−z4−z3−z2−z−1Factor out z from the expression z(z4+z3+z2+z+1)−z4−z3−z2−z−1Factor out −1 from the expression z(z4+z3+z2+z+1)−(z4+z3+z2+z+1)Solution (z−1)(z4+z3+z2+z+1) Show Solution Find the roots z=1 Evaluate z5−1To find the roots of the expression,set the expression equal to 0 z5−1=0Move the constant to the right-hand side and change its sign z5=0+1Removing 0 doesn't change the value,so remove it from the expression z5=1Take the 5-th root on both sides of the equation 5z5=51Calculate z=51Solution z=1 Show Solution
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Calculus
Trigonometry
Matrix Algebra Calculus Trigonometry Matrix