Theorems About Roots of Polynomial Equations
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Use the Rational Root Theorem to list all possible rational roots of the polynomial equation x3 - x2 - x - 3 = 0. Do not find the actual roots.
-3, -1, 1, 3
Find the roots of the polynomial equation. 2x3 + 2x2 - 19x + 20 = 0
3+i/2, 3-i/2, - 4
A cubic polynomial with rational coefficients has the roots 6 +square root over 6 and 2/3. Find one additional root.
6- square root over 6
What does Descartes's Rule of Signs tell you about the real roots of the polynomial? -2x3 + 3x2 - 5x - 2 = 0
There are either 2 or 0 positive roots and one negative root.
Find a third-degree polynomial equation with rational coefficients that has roots -4 and 6 + i.
x3 - 8x2 - 11x + 148 = 0
