Advertisements
Advertisements
Question
A quadratic polynomial the sum and product of whose zeroes are – 3 and 2 respectively, is ______.
Options
x2 + 3x + 2
x2 – 3x + 2
x2 – 3x – 2
x2 + 3x – 2
Advertisements
Solution
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
RELATED QUESTIONS
If the zeros of the polynomial f(x) = ax3 + 3bx2 + 3cx + d are in A.P., prove that 2b3 − 3abc + a2d = 0.
Find the quadratic polynomial, sum of whose zeroes is 8 and their product is 12. Hence, find the zeroes of the 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:
4x2 – 3x – 1
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`
The zeroes of the quadratic polynomial x2 + 99x + 127 are ______.
The only value of k for which the quadratic polynomial kx2 + x + k has equal zeros is `1/2`
Find the sum and product of the roots of the quadratic equation 2x2 – 9x + 4 = 0.
The zeroes of the polynomial p(x) = 2x2 – x – 3 are ______.
