Question
Factor the expression
m(m−2)(4m+1)
Evaluate
4m3−7m2−2m
Rewrite the expression
m×4m2−m×7m−m×2
Factor out m from the expression
m(4m2−7m−2)
Solution
More Steps

Evaluate
4m2−7m−2
Rewrite the expression
4m2+(1−8)m−2
Calculate
4m2+m−8m−2
Rewrite the expression
m×4m+m−2×4m−2
Factor out m from the expression
m(4m+1)−2×4m−2
Factor out −2 from the expression
m(4m+1)−2(4m+1)
Factor out 4m+1 from the expression
(m−2)(4m+1)
m(m−2)(4m+1)
Show Solution

Find the roots
m1=−41,m2=0,m3=2
Alternative Form
m1=−0.25,m2=0,m3=2
Evaluate
4m3−7m2−2m
To find the roots of the expression,set the expression equal to 0
4m3−7m2−2m=0
Factor the expression
m(m−2)(4m+1)=0
Separate the equation into 3 possible cases
m=0m−2=04m+1=0
Solve the equation
More Steps

Evaluate
m−2=0
Move the constant to the right-hand side and change its sign
m=0+2
Removing 0 doesn't change the value,so remove it from the expression
m=2
m=0m=24m+1=0
Solve the equation
More Steps

Evaluate
4m+1=0
Move the constant to the right-hand side and change its sign
4m=0−1
Removing 0 doesn't change the value,so remove it from the expression
4m=−1
Divide both sides
44m=4−1
Divide the numbers
m=4−1
Use b−a=−ba=−ba to rewrite the fraction
m=−41
m=0m=2m=−41
Solution
m1=−41,m2=0,m3=2
Alternative Form
m1=−0.25,m2=0,m3=2
Show Solution
