Polynomials: Chapter 2, NCERT Solutions for Class 10 Mathematics
Chapter 2 of the NCERT answers for class 10 math The use of polynomials will assist students in reviewing ideas they may have previously covered in earlier sessions. A polynomial is a mathematical equation made up of variables, coefficients, addition, subtraction, multiplication, division, and a non-negative integer exponent. The degree of a polynomial is sometimes defined as the largest power of x or the variable in that polynomial. On the basis of this, a polynomial may be further divided into linear, quadratic, and cubic polynomials. Before moving on to smoothly incorporate new topics into their education, kids are given a brief review of ideas like the classification of polynomials and the zeros of a polynomial. The geometrical significance of a polynomial's zeros, the link between a polynomial's zeros and coefficients, and the division procedure for polynomials will all be covered in the NCERT answers class 10 Math Chapter 2 Polynomials.
Since the aforementioned subjects serve as the foundation for mathematics, all of the concepts taught in this chapter will be helpful to students in higher grades. Last but not least, well-written examples are used to teach the polynomial division procedure, which the students must remember. You may find some of these facts and formulae in the activities provided below as well as in the class 10 math NCERT Solutions Chapter 2 Polynomials, which is provided below.
Polynomials:
- Degree of a polynomial: p(x), where x is the highest power of the polynomial
- The graph of a linear polynomial is given as ax + b which is a straight line
- Relationship between zero and coefficient i.e. (Linear polynomial) k=- constant term/coefficient of x.
- For a quadratic polynomial:
Product of its zeros = (constant term)/(coefficient of x2)
- According to the division algorithm, for any polynomial p(x) and any non-zero polynomial g(x), there are polynomials q(x) and r(x) such that p(x) = g(x) q(x) + r(x)
☛ Download NCERT Solutions Class 10 Maths, Chapter 2 Full
Class 10 Chapter 2
- Sum of its zeros = - (coefficient of x)/(coefficient of x2)
- Product of its zeros = (constant term)/(coefficient of x2)
- p(x) = g(x) q(x) + r(x)