Dividing polynomials helps in understanding division of polynomial expressions. A polynomial consists of several terms that are consists of variables constants and exponents. Dividing polynomials is a complicated than monomial division, we need to use different method for simplification. We can use long division method works same as long numerical division. Long division can be done according to the steps given below.
Arrange the terms of the divisor and dividend in descending order of their degrees.The first term of the quotient is obtained from dividing the first term of dividend by divisor.Multiply the quotient by all the terms of the divisor.Subtract the obtained result from the dividend. Repeat the process till we get zero as a remainder or a polynomial with degree less that the divisor.
The following examples helps to understand the steps involved in dividing monomials.
Divide 2x^2+4+5x by (x+2)
We have 2x^2+2+5x
Arrange the terms of the divisor and dividend in descending order of their degrees.
So we get 2x^2+5x+2
Now divide as we do in long division numerical method.
Divide 9x – 6x^2+x^3-2 by (x-2)
First arrange the terms of the divisor and dividend in descending order of their degrees.
by arranging we get x^3 – 6x^2 + 9x -2