SOLUTION: Find all Zeros: f(x)= 12X^3+14X^2-6X

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Question 192646: Find all Zeros: f(x)= 12X^3+14X^2-6X
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Find all the zeros of:
f%28x%29+=+12x%5E3%2B14x%5E2-6x First, set the function equal to zero.
12x%5E3%2B14x%5E2-6x+=+0 Now factor 2x from the trinomial.
2x%286x%5E2%2B7x-3%29+=+0 Factor the trinomial.
2x%282x%2B3%29%283x-1%29+=+0 Now apply the zero product rule.
2x+=+0 or 2x%2B3+=+0 or 3x-1+=+0 From which we get:
highlight%28x+=+0%29
highlight%28x+=+-3%2F2%29
highlight%28x+=+1%2F3%29