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,
If | |||
| Right Option : C | |||
| View Explanation | |||
If | |||
| Right Option : D | |||
| View Explanation | |||
Divide | |||
| Right Option : C | |||
| View Explanation | |||
Students / Parents Reviews [20]
About Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
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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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10thAbhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
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10thAbhyas 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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8thIn terms of methodology I want to say that institute provides expert guidence and results oriented monitering supplements by requsite study material along with regular tests which help the students to improve their education skills.The techniques of providing education helps the students to asses...
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9thIt 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.
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8thWhen I have not joined Abhyas Academy, my skills of solving maths problems were not clear. But, after joining it, my skills have been developed and my concepts of science and SST are very well. I also came to know about other subjects such as vedic maths and reasoning.
