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1. The function f(x) = x^3 + 3x^2 + 2x - 4 has a zero between 0 and 1.
2. The least upper bound of g(x) = x^4 + x^2 + 3 is 4.
3. f(x) = x^4 + 3x^3 + 2x^2 + 3x - 4 has three or one negative real zeroes.
4. Descartes' rule of signs is used to determine the possible number of posticive and negative real zeroes of a polynomial function.
5. The number of negative real zeroes of a polynomial function f(x) may be determined by checking the number of variations in the signs of f(x)
6. The location principle is derived from the intermediate value property of continous function
7. An upper bound is an integer that is always greater than the greatest real zeroes of a polynomial function
8. The number of negative real zeroes of a polynomial function f(x) is either equal to or less than (by an even integer) the number of variations in the signs of terms of f(x)
9. f(x) = 1 + 2x + 3x^3 has two variations in signs
10. f(x) = 1 + 2x + 3x^3 - 2 has two or no positive real zeros
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