Q: What are the steps in solving polynomial inequalities?

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Just keep doing the same thing to both sides of the equation at every step.

Mainly, in the case of simple inequalities, you have to remember that when multiplying or dividing by a negative number, the direction of the inequality changes, for example, from greater-than to less-than or vice versa. Also, for more complicated inequalities, such as those that involve polynomials or absolute values, additional steps are required.

Yes, you must.

Yes

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Solving inequalities and equations are the same because both have variables in the equation.

Just keep doing the same thing to both sides of the equation at every step.

Mainly, in the case of simple inequalities, you have to remember that when multiplying or dividing by a negative number, the direction of the inequality changes, for example, from greater-than to less-than or vice versa. Also, for more complicated inequalities, such as those that involve polynomials or absolute values, additional steps are required.

Evaluating a polynomial is finding the value of the polynomial for a given value of the variable, usually denoted by x. Solving a polynomial equation is finding the value of the variable, x, for which the polynomial equation is true.

Yes, you must.

Yes

Peter B. Borwein has written: 'Polynomials and polynomial inequalities' -- subject(s): Inequalities (Mathematics), Polynomials

It means to find all the numbers for which the inequality is true.

yes

Factoring

Bogomol'nyi-Prasad-Sommerfield bound is a series of inequalities for solutions. This set of inequalities is useful for solving for solution equations.