Question
Simplify the expression
3g3−12g2
Evaluate
(g−4)×3g2
Multiply the terms
3g2(g−4)
Apply the distributive property
3g2×g−3g2×4
Multiply the terms
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Evaluate
g2×g
Use the product rule an×am=an+m to simplify the expression
g2+1
Add the numbers
g3
3g3−3g2×4
Solution
3g3−12g2
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Find the roots
g1=0,g2=4
Evaluate
(g−4)(3g2)
To find the roots of the expression,set the expression equal to 0
(g−4)(3g2)=0
Multiply the terms
(g−4)×3g2=0
Multiply the terms
3g2(g−4)=0
Elimination the left coefficient
g2(g−4)=0
Separate the equation into 2 possible cases
g2=0g−4=0
The only way a power can be 0 is when the base equals 0
g=0g−4=0
Solve the equation
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Evaluate
g−4=0
Move the constant to the right-hand side and change its sign
g=0+4
Removing 0 doesn't change the value,so remove it from the expression
g=4
g=0g=4
Solution
g1=0,g2=4
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