Examples: x^4 - 2x^3 + 5x * 0, -2x^3 + 3x^2 - 4 ≤ 0, x(x-3)^2 (x+4)^3 * 0. Solving the polynomial inequalities: 1. Write the polynomial in factored form. 2. Read roots. 3 Read multiplicity of roots. 4. Mark roots on x-axis. 5. Draw approximate graph of the polynomial begin always from right side -- from up if the polynomial begins positive number, -- from down if the polynomial begins negative number. 6. Graph "crosses" x-axis for roots of odd multiplicity. Graph "bounces" back from x-axis for roots of even multiplicity. 7. Mark green for signs: *, ≤ part of a graph belowe x-axis. For signs: *, ≥ part of a graph above x-axis. 8. For signs: ≤, ≥ draw full circe in roots. For signs: *, * draw open circe in roots. 9. Draw interval correspond to green part of a graph. 10. Write solution.