Question

Find a quadratic polynomial with the given numbers as the sum and product of its

zeroes respectively 2 + √3 and 2 - √3​

Answer 1

Given:

• Sum of Zeroes = 2 + √3

• product of zeroes = 2 - √3

To find :

• The quadratic polymial .

Solution :

• As We know that :

• Quadratic polynomial

=> x² - ( sum of Zeroes ) x + product of zeroes.

Put the given values .

=> x² - (2 + √3 )x + 2 - √3 .

Hence , the quadratic polynomial is

• x² - ( 2 + √3 ) x + 2 - √3 .

Some formula:

• Sum of zeroes = -b/ a

• Product of Zeroes = c/a