Solving a Polynomial Inequality in One Variable In order to find the solution set of an inequality involving a polynomial in one variable, we factor the given polynomial and determine when each factor is positive, negative, or zero. We then check cases to conclude when their prod...
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Solve the following inequality, write your answer in interval notation. {eq}(x+1)(x+2)(x+3)\geq 0 {/eq} Polynomial Inequalities: The solution to a polynomial inequalities involve regions in the number line that satisfy the inequality. To find these regions...
Step 1The first thing we need to do is get a zero on one side of the inequality and then, if possible, factor the numerator and denominator as much as possible.For this problem we already have zero on one side of the inequality and there is no factoring to do with the problem.H...
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Consider the inequality {eq}(x+1)(x-2)(x+3) \geq 0 {/eq} Now, note that the polynomial {eq}(x+1)(x-2)(x+3) {/eq} is zero at the points {eq}x = -1,...Become a member and unlock all Study Answer...
Step 1The first thing we need to do is get a zero on one side of the inequality and then, if possible, factor the polynomial.Hint : Where are the only places where the polynomial might change signs?Step 2Despite the fact that this is an inequality we first need to know where ...
These inequalities show a range of values that overlap. The term disjunction is also used to describe an 'Or' inequality. In other words, the range of values that satisfy either part of the inequality does not connect on the number line. Whenever 'Or' compound inequalities are solved, the ...
Create the nonlinear constraint as a polynomial of the optimization variable. Get nlcons = x(1)^2 + x(2)^2 <= 1; Include the nonlinear constraint in the problem. Get prob.Constraints.circlecons = nlcons; Review the problem. Get show(prob) OptimizationProblem : Solve for: x minimiz...
systems of linear equations, single polynomial equations, quadratic forms and homogeneous Pythagorean equations of the forma*X^2 + b*Y^2 + c*Z^2 = 0. In addition, Maple can solve Diophantine equations of the formp( x ) = c*y, for integral constantsc, and a rational polynomialp( x ...