Advertisements
Advertisements
Question
The zeroes of the polynomial p(x) = 25x2 – 49 are ______.
Options
`49/25, 49/25`
`-49/25, 49/25`
`7/5, -7/5`
`7/5, 7/5`
Advertisements
Solution
The zeroes of the polynomial p(x) = 25x2 – 49 are `underlinebb(7/5, -7/5)`.
Explanation:
p(x) = 25x2 = 49
= (5x – 7)(5x + 7)
∴ x = `7/5` and `(-7)/5`
APPEARS IN
RELATED QUESTIONS
Find a quadratic polynomial with the given numbers as the sum and product of its zeroes respectively.
`-1/4 ,1/4`
If α and β are the zeros of the quadratic polynomial p(y) = 5y2 − 7y + 1, find the value of `1/alpha+1/beta`
Find a cubic polynomial with the sum, sum of the product of its zeroes taken two at a time, and product of its zeros as 3, −1 and −3 respectively.
If 3 and –3 are two zeroes of the polynomial `(x^4 + x^3 – 11x^2 – 9x + 18)`, find all the zeroes of the given polynomial.
If 2 and `1/2` are the zeros of px2 + 5x + r, then ______.
If two of the zeroes of a cubic polynomial are zero, then it does not have linear and constant terms.
Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials:
5t2 + 12t + 7
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.
`21/8, 5/16`
Find the zeroes of the quadratic polynomial 6x2 – 3 – 7x and verify the relationship between the zeroes and the coefficients.
A quadratic polynomial whose sum and product of zeroes are 2 and – 1 respectively is ______.
