Factorization by Middle Term Splitting
Factorization by Middle Term Splitting
Factorization of quadratic polynomials in one Variables:
Let us now consider the polynomial .
Comparing this with polynomial , we get a + b = -7 and ab = 12.
Now, we have to find factors of 12 whose sum is -7.
Since a + b is negative ab is positive. Therefore, a and b both must negative
Clearly, such factors are -3 and -4.
Hence, the factors of are (y - 3) and ( y - 4 ).
Algorithm:
Step I Obtain the quadratic polynomial .
Step II Obtain p = coefficient of x and, q = constant term.
Step III Find two numbers a and b such that a + b = p and ab = q.
Step IV Split up the middle term as the sum of two terms ax and bx.
Step V Factorize the expression obtained in step IV by grouping the terms.
Illustration: Factorize the following expression:
Solution: In order to factorize , we find two numbers p and q such that
p + q + 6 and pq = 8
Clearly, 2 + 4 = 6 and 2 4 = 8.
We now split the middle term 6x in the given quadratic as 2x + 4x.
Express the following as the product of two factors: | |||
| Right Option : D | |||
| View Explanation | |||
Factorize: | |||
| Right Option : A | |||
| View Explanation | |||
Factorize: | |||
| Right Option : A | |||
| View Explanation | |||
Students / Parents Reviews [10]
My experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
Shivam Rana
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.
Ayan Ghosh
8thI 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
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
10thBeing 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
8thA 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 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
8thOne 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 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
8thAbhyas 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.
