Respuesta :
The possible number of positive real solutions for the given polynomial equation is; Option C; One
We are given the polynomial;
5x³ + x² + 7x - 28 = 0
We can use descartes rule of signs to find the number of positive real zeros of the polynomial.
This descarte's rule of sign states that the number of sign changes from two consecutive coefficients tell us the number of maximum number of possible positive real zeros.
In our given polynomial, there is only one sign change. Thus we conclude that there is only one possible positive real solution to the polyomial.
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