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:
Divide and find the remainder: | |||
| Right Option : C | |||
| View Explanation | |||
Determine the value of a for which the polynomial | |||
| Right Option : B | |||
| View Explanation | |||
Find the remainder: | |||
| Right Option : B | |||
| View Explanation | |||
Students / Parents Reviews [10]
Being a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
Prisha Gupta
8thIt was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
Eshan Arora
8thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
Cheshta
10thMy experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
Hiya Gupta
8thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
Manish Kumar
10thI have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
Yatharthi Sharma
10thOne of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
Aman Kumar Shrivastava
10thIt has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
Barkha Arora
10thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Archit Segal
7thMy experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
