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
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.
APPEARS IN
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.