Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients:
2x2 – 11x + 15
Let f(x) = 2x2 – 11x + 15
Put f(x) = 0
2x2 - 11x + 15 = 0
2x2 - 6x - 5x + 15 = 0
2x(x - 3) - 5(x - 3) = 0
(2x - 5) (x - 3) = 0
Now, sum of zeroes= =
Product of zeroes
Hence, relationship verified.