Presentation on theme: "Polynomial Inequalities in One Variable"— Presentation transcript:
1Polynomial Inequalities in One Variable Let P(x) be any polynomial. Then P(x) < 0 and P(x) > 0 are called polynomial inequalities.To solve polynomial inequalities:Use a sign graph of P(x)Analyze a graph of P(x):P(x) > 0 when the graph is above the x-axisP(x) < 0 when the graph is below the x-axis
2Find the zeros of the polynomial Plot the zeros on a number lineTest for the signs of P(x) in each intervalThe solution of P(x) < 0 is x < -1 or 0 < x < 3
3ActivityExplain why this product should not change sign at x = 1.