Page 2 - ln

Now the polynomials (4a – 10a + 5a) is written as numerator and the monomial (2a) is
3
2
written as denominator.

Therefore, we get ᄰ܅

Now we observe that there are three terms in the polynomial so, each term of the polynomial
(numerator) is separately divided by the same monomial (denominator).

ᄰ܅

Note:

The process is exactly converse of finding the L.C.M. of fractions and reducing the expression
into a single fraction.

Now we will cancel out the common factor from both numerator and denominator to simplify.

=

Solve examples on division of polynomial by monomial:

1. Divide x + 7x – 5x by x 2
4
5
6
= x + 7x – 5x ÷ x 2
6
4
5

=

Now, we need to divide each term of the polynomial by the monomial and then simplify.
=

Now each term will be simplified by cancelling out the common factor.

= (Ans)

2. Divide a ab – ac by –a

= a ab – ac ÷ − a

=

Now, we need to divide each term of the polynomial by the monomial and then simplify.

=

=

Now each term will be simplified by cancelling out the common factor.

= − a − b c