Find the sum of the zeros and the product of zeros of a quadratic poly

1.	Find the sum of the zeros and the product of zeros of a quadratic polynomial, are − 1/ 2 and -3 respectively. Write the polynomial.
Answer» 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 ⇒ x² – (− 1/2 )x + (–3) ⇒ x² + 1/2x – 3 Hence, the required polynomial is x² + 1/2x – 3.

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

Answer»

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

⇒ x² – (− 1/2 )x + (–3)

⇒ x² + 1/2x – 3

Hence, the required polynomial is x² + 1/2x – 3.