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

Question

Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients: x 2 + 3x – 10

Philoid · Accepted Answer

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.