Find the quadratic polynomial whose sum and product of zeroes are - 2 root 3 and -9
Find the quadratic polynomial whose sum and product of zeroes are - 2 root 3 and -9
4 views
1 Answers
Solution:
We have given that sum of zeroes(S)= -2√3
and product of zeroes(P) = -9
so the quadratic polynomial p(x)= k(x2 - Sx +P)
p(x) = k(x2 - (-2√3)x + (-9))
p(x) = k(x2 + 2√3x - 9)
where k is any non-zero real number.
4 views
Answered