Listen NCERT Audio Books to boost your productivity and retention power by 2X.
If the product of two zeros of the polynomial f (x) = 2xZ3 + 6x2 – 4x + 9 is 3, then its third zero is
Given;
f(x) = 2x3 + 6x2 – 4x + 9
Product of the two zeros = 3
a = 2,
b = 6
c = – 4
d = 9
Let the zeros of f(x) be p, q, r
Product of the zeroes = – d/a
p×q×r = – 9/2
3r = – 9/2 … (given p×q = 3)
r = – 3/2
Hence,
Third zero = – 3/2