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Find the zeroes, sum and product of zeroes of quadratic polynomials using graphical and algebraic methods. Download PDF of NCERT solutions for Class 10 Maths Chapter 2 Polynomials with step-wise explanations and important questions.
- SS 10 Maths Ncert Solutions Chapter 2 Polynomials Ex 2.1
- SS 10 Maths Ncert Solutions Chapter 2 Polynomials Ex 2.2
- SS 10 Maths Ncert Solutions Chapter 2 Polynomials Ex 2.3
- SS 10 Maths Ncert Solutions Chapter 2 Polynomials Ex 2.4
- Class 10 Maths Polynomials Mind Map
Question 1: The graphs of y = p(x) are given below for some polynomials p(x). Find the number of zeroes of p(x) in each case. Solution:
Question 1. Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and their coefficients: (i) x2 – 2x – 8 (ii) 4s2 – 4s + 1 (iii) 6x2 – 3 – 7x (iv) 4u2 + 8u (v) t2 – 15 (vi) 3x2 – x – 4 Solution: Question 2. Find a quadratic polynomial each with the given numbers as the sum and product of zeroes respe...
Question 1. Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following: (i) p(x) = x3 – 3x2 + 5x – 3, g(x) = x2 – 2 (ii) p(x) = x4 – 3x2 + 4x + 5, g(x) = x2 + 1 – x (iii) p(x) = x4– 5x + 6, g(x) = 2 – x2 Solution: Question 2. Check whether the first polynomial is a factor of the second polynomial ...
Question 1. Verify that the numbers given alongside of the cubic polynomials below are their zeroes. Also, verify the relationship between the zeroes and the coefficients in each case: (i) 2x3 + x2 – 5x + 2; 14, 1, -2 (ii) x3 – 4x2 + 5x – 2; 2, 1, 1 Solution: Question 2. Find a cubic polynomial with the sum, some of the product of its zeroes taken ...
Polynomial
An algebraic expression f(x) of the form f(x) = a0 + a1x + a2x2 +…. + anxn, where a0, a1, ……., an are real numbers and all indices of variables are non-negative integers is called polynomial in variable x. (i) The highest power of x is called degree of the polynomial. (ii) a0, a1x,….,anxn are terms of the polynomial. (iii) a0, a1 ,….anare co-efficients of the polynomial.
Standard Forms of Linear, Quadratic and Cubic Polynomials
(i) Linear Polynomial: ax + b, where a, b are real numbers and a ≠ 0. (ii) Quadratic Polynomial: ax2 + bx + c, where a, b, c are real numbers & a ≠ 0. (iii) Cubic Polynomials: ax3 + bx2+ cx + d, where a, b, c, d are real numbers and a ≠ 0.
Value of a Polynomial
The value of a polynomial f(x) at x = a is obtained by substituting x = a in the given polynomial and is denoted by/(a).
Learn about polynomials, zeroes, division algorithm and more with NCERT solutions and videos for Maths Class 10. Explore examples, exercises, case based questions and MCQs from Teachoo.
Jun 27, 2024 · Get the NCERT Solutions for class 10 Maths chapter 2 Polynomials all exercises in Hindi and English medium modified and updated for session 2024-25. According to new syllabus and latest NCERT textbooks issued for academic year 2024-25, there are only two exercises in chapter 2 in class 10th mathematics syllabus.
1 day ago · Learn and revise the concepts of polynomials, their types, zeros, graphs, and applications with NCERT solutions for Class 10 Maths Chapter 2. Download free PDF, watch videos, and access other resources for CBSE exam preparation.
- 59 min
Detailed answers of all the questions in Chapter 2 maths class 10 Polynomials Exercise 2.1 provided in NCERT TextBook. Topics and Sub Topics in Class 10 Maths Chapter 2 Polynomials: Section Name
The NCERT solutions class 10 maths Chapter 2 Polynomials kids will be introduced to the geometrical meaning of zeros of a polynomial, the relationship between zeros and coefficients of a polynomial, as well as the division algorithm for polynomials.
