Division of Polynomial by another Polynomial Long Division
Division of Polynomial by another Polynomial Long Division
Division of a polynomial by a binomial by using long division
For dividing a polynomial by a binomial, we may follow the following steps:
Step I: Arrange the terms of the dividend and divisor in descending order of their degrees.
Step II: Divide the first term of the dividend by the first term of the divisor to obtain the first term of the quotient.
Step III: Multiply the divisor by the first term of the quotient and subtract the result from the dividend to obtain the remainder.
Step IV: Consider the remainder (if any) as dividend and repeat step II to obtain the second term of quotient.
Step V: Repeat the above process till we obtain a remainder which is either zero or a polynomial of degree less than that of the divisor.
Example 1 Divide
Solution: We go through the following steps to perform the division:
Step I: We write the terms of the dividend as well as of divisor in descending order of their degrees. Thus, we write
Step II: We divide the first term of the dividend by the first term
of the divisor and obtain
as the first term of the quotient.
Step III: We multiply the divisor by the first term
we get
of the quotient and subtract the result from the dividend
We obtain
as the remainder.
Step IV : We take as the new dividend and repeat step II to obtain the second term
of the quotient.
Step V : We multiply the divisor by the second term
of the quotient and subtract the result
from the new dividend. We obtain
as the remainder.
Step VI : Now we treat as the new dividend and divide its first term
by the first term
of the divisor to obtain
as the third term of the quotient.
Step VII : We multiply the divisor and the third term
of the quotiemt and subtract the result
from the new dividend. We obtain
as the remainder. Thus, we can say that:
or,
Example: Divide
Solution:
Find the remainder: | |||
| Right Option : B | |||
| View Explanation | |||
If | |||
| Right Option : A | |||
| View Explanation | |||
Divide | |||
| Right Option : C | |||
| View Explanation | |||
Students / Parents Reviews [20]
Abhyas institute is one of the best coaching institute in the vicinity of Ambala cantt.The institute provides good and quality education to the students.The teachers are well experienced and are very helpful in solving the problems. The major advantages of the institute is extra classes for weak...
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10thAbhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
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