Question
Factor the expression
2s2(4−11s3)
Evaluate
8s2−22s5
Rewrite the expression
2s2×4−2s2×11s3
Solution
2s2(4−11s3)
Show Solution

Find the roots
s1=0,s2=113484
Alternative Form
s1=0,s2≈0.713766
Evaluate
8s2−22s5
To find the roots of the expression,set the expression equal to 0
8s2−22s5=0
Factor the expression
2s2(4−11s3)=0
Divide both sides
s2(4−11s3)=0
Separate the equation into 2 possible cases
s2=04−11s3=0
The only way a power can be 0 is when the base equals 0
s=04−11s3=0
Solve the equation
More Steps

Evaluate
4−11s3=0
Move the constant to the right-hand side and change its sign
−11s3=0−4
Removing 0 doesn't change the value,so remove it from the expression
−11s3=−4
Change the signs on both sides of the equation
11s3=4
Divide both sides
1111s3=114
Divide the numbers
s3=114
Take the 3-th root on both sides of the equation
3s3=3114
Calculate
s=3114
Simplify the root
More Steps

Evaluate
3114
To take a root of a fraction,take the root of the numerator and denominator separately
31134
Multiply by the Conjugate
311×311234×3112
Simplify
311×311234×3121
Multiply the numbers
311×31123484
Multiply the numbers
113484
s=113484
s=0s=113484
Solution
s1=0,s2=113484
Alternative Form
s1=0,s2≈0.713766
Show Solution
