Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
h(h−1)(h4+h3+h2+h+1)
Evaluate
h6−h
Rewrite the expression
h×h5−h
Factor out h from the expression
h(h5−1)
Solution
More Steps
Evaluate
h5−1
Calculate
h5+h4+h3+h2+h−h4−h3−h2−h−1
Rewrite the expression
h×h4+h×h3+h×h2+h×h+h−h4−h3−h2−h−1
Factor out h from the expression
h(h4+h3+h2+h+1)−h4−h3−h2−h−1
Factor out −1 from the expression
h(h4+h3+h2+h+1)−(h4+h3+h2+h+1)
Factor out h4+h3+h2+h+1 from the expression
(h−1)(h4+h3+h2+h+1)
h(h−1)(h4+h3+h2+h+1)
Show Solution
Find the roots
h1=0,h2=1
Evaluate
h6−h1
To find the roots of the expression,set the expression equal to 0
h6−h1=0
Evaluate the power
h6−h=0
Factor the expression
h(h5−1)=0
Separate the equation into 2 possible cases
h=0h5−1=0
Solve the equation
More Steps
Evaluate
h5−1=0
Move the constant to the right-hand side and change its sign
h5=0+1
Removing 0 doesn't change the value,so remove it from the expression
h5=1
Take the 5-th root on both sides of the equation
5h5=51
Calculate
h=51
Simplify the root
h=1
h=0h=1
Solution
h1=0,h2=1
Show Solution