Division of an Expression by a Monomial
Division of a polynomial by a monomial
Now, let's try doing the same method for longer and more complex equations. Consider the example consisiting of a trinomial divided by a monomial:
We have:
We observe that
None the less we try to take 2y out as a common term. So,
= 2y(
On dividing by 2y we get:
=
which is the correct result.
An alternate method: Another way of doing division involving multiple terms is to divide all the individual terms with the denominator.
=
=
=
which gives us the same answer.
Try These
Using the same method try to solve the following:
(i)
- Between the numerator and denominator, cancel out the common factors
- We get:
keys="+ – × π ÷ brackets frac" - Cancelling out the common factors
- Which gives us the above answer
(ii)
- Between the numerator and denominator, cancel out the common factors
- We get:
- Cancelling out the common factors
- Which gives us the above answer
Example 14:
Method 1: Taking out the common factor from numerator and denominator
- We have the following
- Taking out the common factors
- We get:
- Which gives us the above answer
Method 2: Dividing each term by denominator
- We have the following
- Individually dividing each term by the denominator
- We get:
- Which gives us the same answer as earlier.