Question
Simplify the expression
3z3−z2
Evaluate
z2(3z−1)
Apply the distributive property
z2×3z−z2×1
Multiply the terms
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Evaluate
z2×3z
Use the commutative property to reorder the terms
3z2×z
Multiply the terms
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Evaluate
z2×z
Use the product rule an×am=an+m to simplify the expression
z2+1
Add the numbers
z3
3z3
3z3−z2×1
Solution
3z3−z2
Show Solution

Find the roots
z1=0,z2=31
Alternative Form
z1=0,z2=0.3˙
Evaluate
(z2)(3z−1)
To find the roots of the expression,set the expression equal to 0
(z2)(3z−1)=0
Calculate
z2(3z−1)=0
Separate the equation into 2 possible cases
z2=03z−1=0
The only way a power can be 0 is when the base equals 0
z=03z−1=0
Solve the equation
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Evaluate
3z−1=0
Move the constant to the right-hand side and change its sign
3z=0+1
Removing 0 doesn't change the value,so remove it from the expression
3z=1
Divide both sides
33z=31
Divide the numbers
z=31
z=0z=31
Solution
z1=0,z2=31
Alternative Form
z1=0,z2=0.3˙
Show Solution
