CBSE Class 10 maths solutions Polynomials Ex 2.2 q2 | NCERT Solutions for Class 10 Maths Polynomials
In this video, examples on Factoring polynomial are explained.Zeros of polynomial are determined by equating each factor of polynomial to zero.Sum and Productof zeroes is find out with Coefficient of x,Coefficient of x^2 and constant term of polynomial.Verification of obtain results is done.
00:02 Q1. Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.
0:15 (i) Find the zeros of a quadratic function x^2 – 2 x – 8 by factoring (vi)3x^2 – x – 4
00:20 Find zeroes of quadratic polynomial Procedure
00:33 Sum of zeroes = -(Coefficient of x )/(Coefficient of x^2).
00:36 Product of zeroes = (Constant term)/(Coefficient of x^2).
01:05 Factoring quadratic polynomial
02:05 zeroes of polynomial.
02:14 Relationship between Zeroes and Coefficients of a Polynomial
02:24 Sum of zeroes = -(Coefficient of x )/(Coefficient of x^2)
03:23 Product of zeroes = (Constant term)/(Coefficient of x^2).
04:27 (ii) Find the zeros of a quadratic function 4s^2 – 4s + 1 by factoring
04:35 Factoring quadratic polynomial.Factorization method
05:21 zeroes of polynomial.
05:50 Relationship between Zeroes and Coefficients of a Polynomial
05:55 Sum of zeroes = -(Coefficient of x )/(Coefficient of x^2)
06:40 Product of zeroes = (Constant term)/(Coefficient of x^2).
Zeroes of the polynomial are the values of variable “x” when the polynomial equals zero.
Factoring polynomial: To find factors of Quadratic polynomial
If p(x) is a polynomial in x , and if k is any real number, then the value obtained by replacing x by k in p(x), is called the value of p(x) at x=k , and is denoted by p(k).Real number k is said to be a zero of a polynomial p ( x ), if p ( k) = 0.
Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.
Sum of zeros of polynomial = -(Coefficient of x )/(Coefficient of x^2)
Product of zeros of polynomial = (Constant term)/(Coefficient of x^2)
CBSE solutions for class 10 maths Chapter 2 Polynomials Exercise 1.4
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