Question
Simplify the expression
3x3−x2
Evaluate
x2(3x−1)
Apply the distributive property
x2×3x−x2×1
Multiply the terms
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Evaluate
x2×3x
Use the commutative property to reorder the terms
3x2×x
Multiply the terms
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Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
3x3
3x3−x2×1
Solution
3x3−x2
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Find the roots
x1=0,x2=31
Alternative Form
x1=0,x2=0.3˙
Evaluate
(x2)(3x−1)
To find the roots of the expression,set the expression equal to 0
(x2)(3x−1)=0
Calculate
x2(3x−1)=0
Separate the equation into 2 possible cases
x2=03x−1=0
The only way a power can be 0 is when the base equals 0
x=03x−1=0
Solve the equation
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Evaluate
3x−1=0
Move the constant to the right-hand side and change its sign
3x=0+1
Removing 0 doesn't change the value,so remove it from the expression
3x=1
Divide both sides
33x=31
Divide the numbers
x=31
x=0x=31
Solution
x1=0,x2=31
Alternative Form
x1=0,x2=0.3˙
Show Solution
