Solve the following polynomial inequality. In doing so, you should solve the polynomial equation by utilizing polynomial theories, such as the rational zeros theorem, the factor theorem, and the fundamental theorem of algebra. You should then solve the inequality using the critical point method. You should show all work in arriving to your solution. x3 10x2 + 31x – 30 > 0

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.