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RD Sharma Class 9 Solutions Chapter 6 - Factorization of Polynomials (Ex 6.3) Exercise 6.3

Last updated date: 29th May 2024
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What are Polynomials?

Polynomials in class 9 are the basics of algebra where you need these theories for solving future classes problems. Polynomials are nothing but algebraic expressions which have one or more terms with a non-zero coefficient. Every term of the polynomial has at least one coefficient. The word “polynomial” is derived from the “poly” which can be termed as “too many” and the word “nominal” means “the term”.  They are said to be the subset of the algebraic expression. The word polynomial is nothing but the expression which contains one or more terms with a non- zero coefficient. 

For example, the coefficient is 2 for the first term, x is the variable, 2 is the exponent, so it will be in this format 2x2+3x-2. As the variables may have constants, variables, terms, exponents, and variables.  Constants are nothing but the numerical which have a fixed value. Variable is the symbol that is assigned for the different values. Various parts of the expression in the above example which are separated by the sign can be termed as a term. The coefficient is the numerical factor in the expression. Exponent is the number that tells how many times that number needs to be multiplied.

Free PDF download of RD Sharma Class 9 Solutions Chapter 6 - Factorization of Polynomials Exercise 6.3 solved by Expert Mathematics Teachers on All Chapter 6 - Factorization of Polynomials Ex 6.3 Questions with Solutions for RD Sharma Class 9 Math to help you to revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams.

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Class 9 Topics for Polynomials

  • Introduction 

  • Polynomials in one variable

  • Zeros of polynomials 

  • Remainder theorem 

  • Factorization of polynomials 

  • Algebraic identities 

Exercise 6.3 of Chapter 6 - Factorization of Polynomials

In this exercise, we will look into the remainder theorem of the factorization of polynomials. As we know about the equation that we use to solve for the sums of division method, the same is the formula we need to find : Dividend = Divisor x Quotient + Remainder. This formula will help you to know how to solve the sums for the remainder theorem. For example f(x) is dividend, k(x) is divisor, q(x) is quotient and g(x) is the remainder wherein we have the equation as f(x)= k(x)- q(x) + g(x).

FAQs on RD Sharma Class 9 Solutions Chapter 6 - Factorization of Polynomials (Ex 6.3) Exercise 6.3

1. What do you mean by the factorization of polynomials?

Factorization of polynomials means expressing the polynomial as a product of its two or more factors.

2. Where can  I download the free pdf of RD Sharma Class 9 Solutions Chapter 6?

You can download the free pdf of RD Sharma Class 9 Solutions Chapter 6 from Vedantu’s official website and also from the Vedantu app available in the Google Playstore.

3. Are the Class 9 study materials of Vedantu reliable?

Yes, you can completely rely on the study materials provided by Vedantu as these materials are prepared by the expert professionals. The study materials are as per the latest guidelines and are prepared after a thorough research.