Advertisements
Advertisements
Question
The zeroes of the polynomial p(x) = 2x2 – x – 3 are ______.
Options
`-3/2, 1`
`3/2, 1`
`-3/2, -1`
`3/2, -1`
Advertisements
Solution
The zeroes of the polynomial p(x) = 2x2 – x – 3 are `underlinebb(3/2, -1)`.
Explanation:
2x2 – x – 3
2x2 – 3x + 2x – 3
x(2x – 3) + 1(2x – 3)
(2x – 3) (x + 1)
Zeroes are `3/2` and – 1
APPEARS IN
RELATED QUESTIONS
Find the zeroes of the following quadratic polynomial and verify the relationship between the zeroes and the coefficients:
4s2 – 4s + 1
Find the zeroes of the following quadratic polynomial and verify the relationship between the zeroes and the coefficients:
t2 – 15
Find a quadratic polynomial with the given numbers as the sum and product of its zeroes respectively.
4, 1
Find all zeroes of the polynomial `(2x^4 - 9x^3 + 5x^2 + 3x - 1)` if two of its zeroes are `(2 + sqrt3)` and `(2 - sqrt3)`
Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients
`q(x)=sqrt3x^2+10x+7sqrt3`
If α and β are the zeros of the quadratic polynomial p(s) = 3s2 − 6s + 4, find the value of `alpha/beta+beta/alpha+2[1/alpha+1/beta]+3alphabeta`
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.
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`
If one zero of the polynomial p(x) = 6x2 + 37x – (k – 2) is reciprocal of the other, then find the value of k.
A quadratic polynomial whose sum and product of zeroes are 2 and – 1 respectively is ______.
