For dividing a polynomial in one variable by a monomial in the same variable, we perform he following steps
Step 1 : Obtain the polynomial (‘dividend.) and the monomial (divisor).
Step 2 : Arrange the terms of the dividend in descending order of their degrees.
\(7x^2 + 4x – 3 + 5x^3 as 5 x^3 +7X^2 + 4x – 3\)
Step 3 : Divide each term of the polynomial by the given monomial by using the rules of division of a monomial by a monomial.
Example
\(24x^3 y + 20x^2 y^2 – 4xy by 2xy\) \(24x^3y+20x^2y^2 —4xy/2xy\) \(= 24x^3 y/2xy + 20x^2 y^2 /2xy – 4xy/2xy = 12x^2 + 10 xy-2\)