All of us have already studied the method of long division of polynomials by other polynomials in earlier classes. But there, our divisor was just of degree one. Now we will revise long division method of polynomials with other polynomials and extend the discussion to do the division when the divisor is of a higher degree.

Let us discuss the method of division by taking an example. Let us divide (x³ − 7x + 6) by (x² + 2x − 3).

The method can be understood by going through the given video.

Now let us solve some examples to practice the above method.

Example 1:

Check whether (x² − 3x + 2) is a factor of (x³ − 7x² + 14x − 8) or not.