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

x^{2} + 3x – 10

Let f(x) = x^{2} + 3x - 10

Put f(x) = 0

x^{2} + 3x - 10 = 0

x^{2} + 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.

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