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
If α and β are the zeros of the quadratic polynomial f(x) = ax2 + bx + c, then evaluate α4 + β4
Find the zeroes of the quadratic polynomial` (x^2 ˗ 5)` and verify the relation between the zeroes and the coefficients.
Find the zeroes of the quadratic polynomial `(8x^2 ˗ 4)` 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.
If two of the zeros of the cubic polynomial ax3 + bx2 + cx + d are each equal to zero, then the third zero is
What should be added to the polynomial x2 − 5x + 4, so that 3 is the zero of the resulting polynomial?
Case Study -1
The figure given alongside shows the path of a diver, when she takes a jump from the diving board. Clearly it is a parabola.
Annie was standing on a diving board, 48 feet above the water level. She took a dive into the pool. Her height (in feet) above the water level at any time ‘t’ in seconds is given by the polynomial h(t) such that h(t) = -16t2 + 8t + k.
The zeroes of the polynomial r(t) = -12t2 + (k - 3)t + 48 are negative of each other. Then k is ______.
A quadratic polynomial, whose zeroes are –3 and 4, is ______.
Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials:
`4x^2 + 5sqrt(2)x - 3`
Find the zeroes of the polynomial x2 + 4x – 12.
