SOLUTION: Show that the polynomial P(x)=2x^4-7x^3-10x^2+21x-12 has a zero that lies between x=0 and x=2. I did this all i get is negatives, just wanna see another answer.

Question 868375: Show that the polynomial P(x)=2x^4-7x^3-10x^2+21x-12 has a zero that lies between x=0 and x=2. I did this all i get is negatives, just wanna see another answer.
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
The expectation is not true, at least according to putting the function into a graphing tool. There is a local maximum between x=0 and x=2, but the graph does not touch the x-axis. Maybe a complex zero with imaginary part? You would expect the polynomial to have four complex zeros.
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