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1800-102-2727Polynomials are expressions in algebraic mathematics which is comprised of variables and their coefficients containing operations like addition, subtraction, or exponents. Class 10 Maths Chapter 2 - Polynomials deals with these algebraic expressions or polynomials of various degrees. If p(x) is a polynomial of x, then the highest power of x in p(x) is the degree of the polynomial. If the degree is 1, 2, and 3, it is called linear, quadratic, and cubic polynomial, respectively. When x is replaced by any integer k, it is known as the value of p(x) at k and is denoted by p(k). In linear polynomial, the zero value of the polynomial px+q can be found by -q/p (coefficients). But in the case of higher degree polynomials, it is harder to find where zeros would be obtained.
A quadratic polynomial has almost 2 zeros which are found with the help of the graphical method. It can also be done by using the factorization method. Equate each factor of a polynomial to zero and find the value of x. The polynomial would be zero at these values of x. In the case of cubic polynomial, there are almost 3 zeros (factors).
The chapter further discusses the relationship between the zeros and coefficients of a polynomial. In the case of an equation like ax2+bx+c, the sum of two values of x is equal to (-b/a), and the product of the two values of x is equal to (c/a).
Maths Chapter 2 Polynomials further discusses the division of polynomials. For example, if you are given one factor, the remaining two factors can be found by the Division algorithm for a polynomial. The division method of polynomial says that if p(x) and g(x) are two polynomials with g(x) not equal to zero, then the p(x)=g(x).q(x) + r(x). The value of r(x) is zero, or it has a lower degree than g(x). This method is also known as the remainder theorem.
Question. How can students utilize NCERT solutions class 10 Maths Chapter 2 Polynomials effectively?
Answer. All students should first practice these examples to understand the logic and problem-solving techniques. Students should try to solve as many exercise questions as they can. CBSE itself recommends NCERT Solutions for the board exam preparation.
Question. Why are class 10 Maths NCERT solutions for chapter 2 important?
Answer. The NCERT Solutions Class 10 Maths Chapter 2 includes a detailed explanation of the remainder and factor theorem which holds an important place in algebra. Also, the important algebraic identities are discussed in an elaborate manner with several questions to be solved by the students. A list of key concepts is available at the end of each chapter. This will be beneficial for students as they can use this list whenever required. In all, these solutions cover all of the major concepts and formulas, making them of utmost importance.
Question. What are the important topics covered in NCERT solutions class 10 Maths chapter 2 Polynomials?
Answer. The Important topics that are covered under the NCERT Solutions Class 10 Maths Chapter 2 include the basic understanding of Polynomials, the components of algebraic expressions, and their definitions. This chapter mainly focuses on the types of polynomials and how they are to be solved with a special focus on factor and remainder theorem and the algebraic entities.
Question. Do I need to practice all questions provided in NCERT solutions class 10 Maths Polynomials?
Answer. NCERT Solutions Class 10 Maths Polynomials encompass a variety of questions that explore all the algebraic concepts related to polynomials. Therefore, it's best if students make use of this and start practicing by solving all the examples first. This will provide students with a better understanding of what steps are to be followed when questions related to polynomials are solved.
Question. Why should students opt for Aakash NCERT solutions for CBSE class 10 Maths?
Answer. NCERT Class 10 Maths solutions is the perfect aid for students aiming to score well in their board exams as it is created by qualified subject teachers of Aakash as per the latest class 10 CBSE Maths Syllabus. Students will find it really helpful to ace their board exams.
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