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The sum of the root of 3x^3+4x^2=4x=0 is...

The sum of the root of `3x^3+4x^2=4x=0` is

A

`-4/3`

B

`-3/4`

C

0

D

`4/3`

Text Solution

Verified by Experts

The correct Answer is:
A
Plot the graph of `y=3x^3+4x^2-4x` in thej standard window and use CALC/zero to find the three zeros of this function. Sum these three values to get the correct answer choice.
An alternative solution is to first observe that x factors out, so that x=0 is one zero. The other factor is a quadratic, so the sum of its zero is `-(b)/(a)=-(4)/(3)`. [4]
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