Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients:

2x^{2} – 11x + 15

Let f(x) = 2x^{2} – 11x + 15

Put f(x) = 0

2x^{2} - 11x + 15 = 0

2x^{2} - 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.

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