Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients:
x2 + 3x – 10
Let f(x) = x2 + 3x - 10
Put f(x) = 0
x2 + 3x - 10 = 0
x2 + 5x - 2x - 10 = 0
x(x + 5) - 2(x + 5) = 0
(5 + x) (x - 2) = 0
∴ x = -5 or x = 2
Now, sum of zeroes = -5 + (2) = -3 =
Product of zeroes = (-5) × (2)
Hence, relationship verified.