- #1
Loonygirl
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Use Descartes' Rule of Signs to analyze the zeros of the following. List all possibilities.
1. P(x) = x5 - 4x4 + 3x3 + 2x - 6
2. P(x) = -5x4 + x3 + 2x2 - 1
3. P(x) = 2x5 + 7x3 + 6x2 - 2
So I found these answers, are they right?:
1. P(x) = x^5 - 4x^4 + 3x^3 + 2x - 6
(3 positive, 2 imaginary) ; (1 positive, 4 imaginary)
2. P(x) = -5x^4 + x^3 + 2x^2 - 1
(2 positive, 2imaginary) ; (4imaginary) ; (2 positive, 2 negative) ; (2 neg. 2 imagin.)
3. P(x) = 2x^5 + 7x^3 + 6x^2 - 2
(1 positive, 4 imaginary) ; (1 positive, 2 negative, 2 imaginary)
1. P(x) = x5 - 4x4 + 3x3 + 2x - 6
2. P(x) = -5x4 + x3 + 2x2 - 1
3. P(x) = 2x5 + 7x3 + 6x2 - 2
So I found these answers, are they right?:
1. P(x) = x^5 - 4x^4 + 3x^3 + 2x - 6
(3 positive, 2 imaginary) ; (1 positive, 4 imaginary)
2. P(x) = -5x^4 + x^3 + 2x^2 - 1
(2 positive, 2imaginary) ; (4imaginary) ; (2 positive, 2 negative) ; (2 neg. 2 imagin.)
3. P(x) = 2x^5 + 7x^3 + 6x^2 - 2
(1 positive, 4 imaginary) ; (1 positive, 2 negative, 2 imaginary)
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