How to solve a rational inequality

Rational inequalities - these inequalities, the left and right sides which are sums of polynomials relations. A little more about how to solve them.

Instruction

1. Move all to the left side of the inequality. The right side should remain zero.
2. Give all members the left part of the inequality by a common denominator.
3. Decompose the numerator and denominator of a simple fraction.The first-degree polynomial: ax+b, a?0. Move the brackets the number standing at "x".A second order polynomial (a trinomial square): ax*x+bx+c, a?0. If x1 and x2 are the roots, then ax*x+bx+c=a(x-x1)(x-x2). For example, x*x-5x+6=(x-2)(x-3).The polynomial of the third degree and higher degrees: ax^n+bx^(n-1)+...+cx+d. Find the roots of the polynomial. To search for the roots of a polynomial, use theorem. and its corollaries. Decompose the polynomial into factors similar to the polynomial of the second degree.
4. Solve the resulting inequality by the method of intervals. Be careful: the denominator cannot vanish.
5. Take any number from the interval and check whether it satisfies the original inequality.
6. Write down the answer.