Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients:
x2 + 7x + 12
Let f(x) = x2 + 7x + 12
Put f(x) = 0
x2 + 7x + 12 = 0
x2 + 4x + 3x + 12 = 0
3(x + 4) + x(x + 4) = 0
(3 + x) (x + 4) = 0
∴ x = -4 or x = -3
Now,
sum of zeroes = -3 + (-4) = -7=
Product of zeroes = (-3) × (-4)
Hence, relationship verified.