Question

Find the sum of the zeros and the product of zeros of a quadratic polynomial are `-1/2` and –3 respectively. Write the polynomial.

The sum of zeros and the product of zeros of a quadratic polynomial are `(-1)/2` and –3 respectively. Write the polynomial. 

Answer 1

We can find the quadratic polynomial if we know the sum of the roots and product of the roots by using the formula

x² – (sum of the zeroes)x + product of zeroes

⇒ `x^2 - (-1/2)x + (-3)` 

⇒ `x^2 + 1/2x - 3` 

Hence, the required polynomial is `x^2 + 1/2x - 3`.