Polynomial & Rational Inequalities

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Polynomial & Rational Inequalities

Polynomial Inequalities Solve algebraically. One side of the inequality should be 0. Find the zeros of the polynomial function. Divide a number line at these critical values. Choose a point in each interval and determine the sign of the polynomial in that interval. Write the solution in interval notation. (−∞,−2)∪(3,∞)

Polynomial Inequalities Approximate the solution graphically. Graph the function Find the zeros (critical points) (−∞,−2)∪(3,∞)

Rational Inequalities Solve algebraically. One side of the inequality should be 0. Find the zeros of the numerator and of the denominator: Divide a number line at these critical values. Choose a point in each interval and determine the sign of the polynomial in that interval. Write the solution in interval notation. (−2, 2)

Rational Inequalities Approximate the solution graphically. Graph the function Find the zeros. Other Critical Points (−2, 2)

Rational Inequalities Solve algebraically. One side of the inequality should be 0 and the other side should be written as a single expression. In the denominator: 𝑥≠2, 𝑥≠1 Find the critical values in the numerator and the denominator.

Rational Inequalities Divide a number line at these critical values. Choose a point in each interval and determine the sign of the polynomial in that interval. Write the solution in interval notation. (1, 2)

Rational Inequalities Approximate the solution graphically. Graph the function Find the zeros. Other Critical Points (1, 2)