Question

find the quadratic polynomial whose sum of product of zeros are 1 and 2 respectively​

Answer 1

Given :-

Sum of zeroes = 1

Product of zeroes = 2

To Find :-

Quadratic polynomial

Solution :-

We know that

• Quadratic polynomial = x² - (α + β)x + αβ
• Quadratic polynomial = x² - (1)x + 2
• Quadratic polynomial = x² - 1x + 2
• Quadratic polynomial = x² - x + 2