Precalculus | Frame a quadratic polynomial with given sum and product of Zeros

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http://www.learncbse.in/polynomials-cbse-class-10-maths-chapter-2-extra-questions/

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In this video, examples on Factoring polynomial are explained.Zeros of polynomial are determined by equating each factor of polynomial to zero.Sum and Product of zeroes is find out with Coefficient of x,Coefficient of x^2 and constant term of polynomial.Verification of obtain results is done.

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.

00:02 Q2. Find a quadratic polynomial each with the given numbers as the sum and product of its

zeroes respectively.

Sum of zeroes = -(Coefficient of x )/(Coefficient of x^2)

Product of zeroes = (Constant term)/(Coefficient of x^2)

quadratic polynomial

00:10 (iv) Find the quadratic polynomial with zeroes 1 , 1

01:55 (v) Find the quadratic polynomial with zeroes -1/4 , 1/4

04:04 (vi) Find the quadratic polynomial with zeroes 4 , 1

Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.

Sum of zeros polynomial = -(Coefficient of x )/(Coefficient of x^2)

Product of zeros polynomial = (Constant term)/(Coefficient of x^2)

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CBSE solutions for class 10 maths Chapter 2 Polynomials Exercise 1.4

CBSE class 10 maths NCERT Solutions Chapter 2 Polynomials Exercise 1.2 | Division Algorithm for polynomials

CBSE class 10 maths NCERT Solutions Chapter 2 Polynomials

Solutions for CBSE class 10 Maths Polynomials

NCERT solutions for class 10 maths Polynomials

NCERT solutions for CBSE class 10 maths Polynomials

CBSE class 10 maths Solutions Polynomials Exercise 2.3

Common core Math Polnomials

ICSE Class 10 Maths Polynomials

Tagged under: ncert solutions,learncbse.,gyanpub,sum product,quadratic polynomial,Factoring polynomial,Polynomials,zeroes,Zeros

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