Question
Factor the expression
s2(1−4s3)
Evaluate
s2−4s5
Rewrite the expression
s2−s2×4s3
Solution
s2(1−4s3)
Show Solution

Find the roots
s1=0,s2=232
Alternative Form
s1=0,s2≈0.629961
Evaluate
s2−4s5
To find the roots of the expression,set the expression equal to 0
s2−4s5=0
Factor the expression
s2(1−4s3)=0
Separate the equation into 2 possible cases
s2=01−4s3=0
The only way a power can be 0 is when the base equals 0
s=01−4s3=0
Solve the equation
More Steps

Evaluate
1−4s3=0
Move the constant to the right-hand side and change its sign
−4s3=0−1
Removing 0 doesn't change the value,so remove it from the expression
−4s3=−1
Change the signs on both sides of the equation
4s3=1
Divide both sides
44s3=41
Divide the numbers
s3=41
Take the 3-th root on both sides of the equation
3s3=341
Calculate
s=341
Simplify the root
More Steps

Evaluate
341
To take a root of a fraction,take the root of the numerator and denominator separately
3431
Simplify the radical expression
341
Multiply by the Conjugate
34×342342
Simplify
34×342232
Multiply the numbers
22232
Reduce the fraction
232
s=232
s=0s=232
Solution
s1=0,s2=232
Alternative Form
s1=0,s2≈0.629961
Show Solution
