Understanding Remainder Theorem in Polynomials
Explore the concept of Remainder Theorem in polynomials with the help of long division method and examples. Learn how to find remainders when a polynomial is divided by a linear polynomial. Watch videos for better understanding and practice extra questions to master the topic.
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Presentation Transcript
MATHEMATICS MATHEMATICS CONTENT CLASS IX CLASS IX POLYNOMIALS POLYNOMIALS REMAINDER THEOREM CONTENT 8 8 REMAINDER THEOREM DATE: DATE:- - 08.04.2020 08.04.2020 Let us recall long division method:- i.e. Dividend = Divisor x Quotient + Remainder i.e. Dividend = Divisor x Quotient + Remainder
OR we can say if p(x) = 3x4 4x3 3x 1 and the zero of divisor x 1 is 1. then by putting x = 1 in p(x), we see that p(1) = 3(1)4 4(1)3 3(1) 1 = 3 4 3 1 = 5, which is equal to the remainder obtained by actual division. Now , on the basis of above concept lets start with REMAINDER THEOREM
Statement of Remainder Theorem Statement of Remainder Theorem Let p(x) be any polynomial of degree greater than or equal to one and let a be any real number. If p(x) is divided by the linear polynomial x a, then the remainder is p(a).
VIDEO LINKS: VIDEO LINKS:- - https://youtu.be/JlOHHrpwFxY https://youtu.be/KTvQXspWhbM
Ex. 2.3 to be done in the notebook Ex. 2.3 to be done in the notebook
Extra Questions of Zeroes of a Polynomial Extra Questions of Zeroes of a Polynomial 1.
Extra Questions of Remainder Theorem: Extra Questions of Remainder Theorem:- - 1.
