Advertisements
Advertisements
प्रश्न
A quadratic polynomial whose sum and product of zeroes are 2 and – 1 respectively is ______.
पर्याय
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
Verify that the numbers given along side of the cubic polynomials are their zeroes. Also verify the relationship between the zeroes and the coefficients.
`2x^3 + x^2 – 5x + 2 ; 1/2, 1, – 2`
Find a quadratic polynomial with the given numbers as the sum and product of its zeroes respectively.
1, 1
If α and β are the zeros of the quadratic polynomial f(x) = x2 − p (x + 1) — c, show that (α + 1)(β +1) = 1− c.
Find the zeroes of the quadratic polynomial `4x^2 - 4x + 1` and verify the relation between the zeroes and the coefficients.
Find the quadratic polynomial whose zeroes are `2/3` and `-1/4`. Verify the relation between the coefficients and the zeroes of the polynomial.
Find a cubic polynomial whose zeroes are 2, -3and 4.
Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials:
`y^2 + 3/2 sqrt(5)y - 5`
Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials:
`7y^2 - 11/3 y - 2/3`
If p(x) = x2 + 5x + 6, then p(– 2) is ______.
Find the zeroes of the quadratic polynomial 4s2 – 4s + 1 and verify the relationship between the zeroes and the coefficients.
