Factor And Remainder Theorem
Factor And Remainder Theorem
Value of a Polynomial:
The value of a polynomial f(x) at x = a is obtained by substituting the value of x= a in the given polynomial and it is denoted by f(a)
Illustration: Find the value of polynomial f(x) at x = 1, x= 1/2
Zero of a Polynomial:
The value of x for which the value of the polynomial becomes zero is called zero of polynomial.
Illustration: The value of the polynomial at x= 1
As f(1) is zero so x=1 is the zero of the polynomial
and (x-1) is a factor of this polynomial.
Factor and Remainder Theorem:
It states that:
For a polynomial p(x) of degree greater than of equal to one and 'a' be any real number. If p(x) is divided by the linear polynomial x-a then the remainder is p(a)
Illustration: Find the remainder when f(x) is divided by x-1
and the zero of x-1 is 1
So by the Remainder Theorem the remainder when f(x) is divided by x-1 is 2
What is the remainder when | |||
| Right Option : D | |||
| View Explanation | |||
Find the remainder when | |||
| Right Option : D | |||
| View Explanation | |||
Students / Parents Reviews [20]
A 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
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Ayan Ghosh
8thMy experience with Abhyas Academy has been very good. When I was not in Abhyas whenever teacher ask questions I could not speak it confidently but when I came in Abhyas, my speaking skills developed and now I am the first one to give the answer of teachers question.
Upmanyu Sharma
7thAbhyas 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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Om Umang
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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...
Aman Kumar Shrivastava
10thThird consective year,my ward is in Abhyas with nice experience of admin and transport support.Educational standard of the institute recumbent at satisfactory level. One thing would live to bring in notice that last year study books was distributed after half of the session was over,though study ...
Ayan Ghosh
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Yogansh Nyasi
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Shivam Rana
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Prisha Gupta
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Eshan Arora
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Hridey Preet
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Hiya Gupta
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.
