हिंदी

A quadratic polynomial the sum and product of whose zeroes are – 3 and 2 respectively, is ______. - Mathematics

Advertisements
Advertisements

प्रश्न

A quadratic polynomial the sum and product of whose zeroes are – 3 and 2 respectively, is ______.

विकल्प

  • x2 + 3x + 2

  • x2 – 3x + 2

  • x2 – 3x – 2

  • x2 + 3x – 2

MCQ
रिक्त स्थान भरें

उत्तर

A quadratic polynomial the sum and product of whose zeroes are – 3 and 2 respectively, is x2 + 3x + 2.

Explanation:

Given that,

Sum of zeroes = – 3

Product of zeroes = 2

Quadratic Polynomial is given by:

x2 – (Sum of zeroes)x + (Product of zeroes)

So, P(x): x2 – (– 3) x + 2

Required Quadratic Polynomial is x2 + 3x + 2.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2022-2023 (March) Basic - Delhi Set 1

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

If a and are the zeros of the quadratic polynomial f(x) = 𝑥2 − 𝑥 − 4, find the value of `1/alpha+1/beta-alphabeta`


If 𝛼 and 𝛽 are the zeros of the quadratic polynomial f(x) = x2 − 5x + 4, find the value of `1/alpha+1/beta-2alphabeta`


If If α and β are the zeros of the quadratic polynomial f(x) = x2 – 2x + 3, find a polynomial whose roots are `(alpha-1)/(alpha+1)` , `(beta-1)/(beta+1)`


Find the zeroes of the quadratic polynomial `(5y^2 + 10y)` and verify the relation between the zeroes and the coefficients. 


If two zeros x3 + x2 − 5x − 5 are \[\sqrt{5}\ \text{and} - \sqrt{5}\], then its third zero is


A quadratic polynomial, the sum of whose zeroes is 0 and one zero is 3, is


The below picture are few natural examples of parabolic shape which is represented by a quadratic polynomial. A parabolic arch is an arch in the shape of a parabola. In structures, their curve represents an efficient method of load, and so can be found in bridges and in architecture in a variety of forms.

If the sum of the roots is –p and the product of the roots is `-1/"p"`, then the quadratic polynomial is:


For the following, find a quadratic polynomial whose sum and product respectively of the zeroes are as given. Also find the zeroes of these polynomials by factorisation.

`(-8)/3, 4/3`


If one of the zeroes of a quadratic polynomial of the form x2 + ax + b is the negative of the other, then it ______.


Find the zeroes of the quadratic polynomial 4s2 – 4s + 1 and verify the relationship between the zeroes and the coefficients.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×