THETA DIVISION

Question 87

Polynomials★★★Question Bank

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Question

According to Descartes' Rule of Signs, there are a few possible candidates for the numbers of positive real, negative real, and non-real complex roots of the following function:

f(x)=x^4-2x^3-x+1.

Which of the following is one such candidate? Answers are in the form of an ordered triple as follows: (positive real, negative real, non-real complex).

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Question

According to Descartes' Rule of Signs, there are a few possible candidates for the numbers of positive real, negative real, and non-real complex roots of the following function:

f(x)=x^4-2x^3-x+1.

Which of the following is one such candidate? Answers are in the form of an ordered triple as follows: (positive real, negative real, non-real complex).