Question

sum and product of zeroes of quadratic polynomial are 5 and 17 respectively . find the polynomial ​

Answer 1

Given:

• Sum of zeroes = 5
• Product of zeroes = 17

To find:

The Quadratic polynomial = ?

Formula used:

For solving such type of questions where the sum and product of zeroes are given, we use the below mentioned formula:

Quadratic polynomial = x² - (α + β)x + αβ

where

• (α + β) is the sum of zeroes
• αβ is the product of zeroes

Solution:

Quadratic polynomial = x² - (α + β)x + αβ

⇒ Quadratic polynomial = x² - (5)x + 17

⇒ Quadratic polynomial = x² - 5x + 17

KNOW MORE:

For a polynomial of form ax² + bx + c,

• Sum of zeroes can be found out by applying the formula -b/a
• Product of zeroes can be identified by the formula c/a