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
On dividing | |||
| Right Option : B | |||
| View Explanation | |||
What is the remainder when | |||
| Right Option : D | |||
| View Explanation | |||
Complete the following statements with an appropriate word/term to be filled in the blank spaces (s). x - a is a factors of the polynomial p(x), if p(a) = __________
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| Right Option : C | |||
| View Explanation | |||
Students / Parents Reviews [10]
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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Barkha Arora
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Aman Kumar Shrivastava
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Ayan Ghosh
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Om Umang
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7thAbhyas 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.
