Advertisements
Advertisements
प्रश्न
A quadratic polynomial whose sum and product of zeroes are 2 and – 1 respectively is ______.
विकल्प
x2 + 2x + 1
x2 – 2x – 1
x2 + 2x – 1
x2 – 2x + 1
Advertisements
उत्तर
A quadratic polynomial whose sum and product of zeroes are 2 and – 1 respectively is x2 – 2x – 1.
Explanation:
Given, that
Sum of zeroes = 2
Product of zeroes = – 1
Quadratic polynomial is given
x2 – (Sum of zeroes) x + Product at zeroes
`\implies` x2 – (2) x + (–1)
`\implies` x2 – 2x – 1
APPEARS IN
संबंधित प्रश्न
Find the zeros of the quadratic polynomial 6x2 - 13x + 6 and verify the relation between the zero and its coefficients.
Find the zeroes of the following quadratic polynomial and verify the relationship between the zeroes and the coefficients.
4u2 + 8u
Find a quadratic polynomial with the given numbers as the sum and product of its zeroes respectively.
4, 1
If α and β are the zeros of the quadratic polynomial f(x) = x2 − px + q, prove that `alpha^2/beta^2+beta^2/alpha^2=p^4/q^2-(4p^2)/q+2`
If \[\sqrt{5}\ \text{and} - \sqrt{5}\] are two zeroes of the polynomial x3 + 3x2 − 5x − 15, then its third zero is
If 2 and `1/2` are the zeros of px2 + 5x + r, then ______.
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.
`(-3)/(2sqrt(5)), -1/2`
Find the zeroes of the polynomial x2 + 4x – 12.
The zeroes of the polynomial p(x) = 25x2 – 49 are ______.
The zeroes of the polynomial p(x) = 2x2 – x – 3 are ______.
