Hello everyone, I have a two quick questions about a study guide.
#1
It says use descartes rule of signs to determine the possible number of negative real zeros for the function.
-2x^4 - 2x^3 - 6x^2 - 3x + 2 = 0
the answer is (3, 1) negatives. I understand where the 3 came from but where does the 1 possible negative zero come from. I thought it should be 3 or 0 negative zeros.
#2
Use the boundedness theorem to determine whether the statement is true or false.
The polynomial f(x)=x^4 - x^3 + 2x^2 - 4x - 10 has no real zero greator than 3.
*I've been looking at the bound theorem in my book and I still do not understand how one is suppose to determine this. This answer is TRUE. Can someone please clue me in on how to do this.
- Thanks.
#1
It says use descartes rule of signs to determine the possible number of negative real zeros for the function.
-2x^4 - 2x^3 - 6x^2 - 3x + 2 = 0
the answer is (3, 1) negatives. I understand where the 3 came from but where does the 1 possible negative zero come from. I thought it should be 3 or 0 negative zeros.
#2
Use the boundedness theorem to determine whether the statement is true or false.
The polynomial f(x)=x^4 - x^3 + 2x^2 - 4x - 10 has no real zero greator than 3.
*I've been looking at the bound theorem in my book and I still do not understand how one is suppose to determine this. This answer is TRUE. Can someone please clue me in on how to do this.
- Thanks.
