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: 3x 2 – x – 4

Philoid · Accepted Answer

Let f(x) =3x² – x – 4

Put f(x) = 0

3x² - x – 4 = 0

3x² - 4x + 3x - 4 = 0

x(3x - 4) + 1(3x - 4) = 0

(x + 1) (3x - 4) = 0

Now, sum of zeroes

Product of zeroes

Hence, relationship verified.