Where are the zeros and what is the value of x between [-1,1]?

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The discussion focuses on finding the zeros of the polynomial 5x^3 - 2x^2 + 3 within the interval [-1, 1]. A zero was identified at approximately (-0.7290014, 0), suggesting there is at least one root in this range. Participants emphasize evaluating the expression at the endpoints, x = -1 and x = 1, to determine the signs of the function. Graphing the equation is recommended as a visual method to confirm the presence of roots. The conversation concludes with a suggestion to explore the graph further to identify any additional zeros.
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5x^3 - 2x^2 + 3

Where are the zeros. Is there one between [-1,1]

THanks.
 
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There is a zero at (-0.7860031,0)
 
Evaluate the expression at x = -1 and x = 1.

What are the signs of the expression at these two points? What does this tell you about whether or not there is at least one root between them (hint: plot the two points and draw a line through them. Does it cross 0?) ?

--J
 
UrbanXrisis, that is the wrong answer.
 
ACK! Sorry! (-0.7290014,0) Typed in the wrong answer
 
The easiest way to solve that for you might be to graph the equation. Then limit you window from in the x from -2 to 2 then see if it crosses the axis between -1 and 1... zoom out to see all the zeros if more exist.
 
I think x would -0.92 if it is like this
5x^3 - 2x^2 + 3=0
 

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