Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
5(1−x)(x4+x3+x2+x+1)
Evaluate
5−5x5
Factor out 5 from the expression
5(1−x5)
Solution
More Steps
Evaluate
1−x5
Calculate
x4+x3+x2+x+1−x5−x4−x3−x2−x
Rewrite the expression
x4+x3+x2+x+1−x×x4−x×x3−x×x2−x×x−x
Factor out −x from the expression
x4+x3+x2+x+1−x(x4+x3+x2+x+1)
Factor out x4+x3+x2+x+1 from the expression
(1−x)(x4+x3+x2+x+1)
5(1−x)(x4+x3+x2+x+1)
Show Solution
Find the roots
x=1
Evaluate
5−5x5
To find the roots of the expression,set the expression equal to 0
5−5x5=0
Move the constant to the right-hand side and change its sign
−5x5=0−5
Removing 0 doesn't change the value,so remove it from the expression
−5x5=−5
Change the signs on both sides of the equation
5x5=5
Divide both sides
55x5=55
Divide the numbers
x5=55
Divide the numbers
More Steps
Evaluate
55
Reduce the numbers
11
Calculate
1
x5=1
Take the 5-th root on both sides of the equation
5x5=51
Calculate
x=51
Solution
x=1
Show Solution