SOLUTION: Can you identify all the rational zeros of this function I graphed? Function: {{{ g(t) = 2t^4 - 3t^3 + 16t - 24 }}} Graph: https://s11.postimg.org/d25knuu1v/graph1.png Th

Algebra ->  Test -> SOLUTION: Can you identify all the rational zeros of this function I graphed? Function: {{{ g(t) = 2t^4 - 3t^3 + 16t - 24 }}} Graph: https://s11.postimg.org/d25knuu1v/graph1.png Th      Log On


   

Question 1057641: Can you identify all the rational zeros of this function I graphed?
Function: +g%28t%29+=+2t%5E4+-+3t%5E3+%2B+16t+-+24+
Graph: https://s11.postimg.org/d25knuu1v/graph1.png
Thanks.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
That does not look like a good graph. Try a different tool, and look to see if any roots appear easily judged as maybe rational. You could then use one or two of them to help find the other three or two through synthetic division. Refer to the Rational Roots Theorem also to help identify possible roots to test.

Google Search Engine gave a graph showing two real roots and the graph is not symmetric. Positive root appears to be 1.5, and a negative roots appears to be -2. That should help you to try to cut down by factorization using synthetic division. According to the graph, you will have TWO real probably rational roots.