Question

The sum and product of zeros of quadratic polynomial are 1 and 1 . obtained quadratic polynomial

Answer 1

Solution :

It is given that,

• Sum of zeroes = 1
• Product of zeroes = 1

We know that the formula of finding quadratic equation is :

$\sf = k[x^2 + ( sum\:of\:zeroes )x + product\:of\:zeroes]$

$\sf = k [ x^2 + 1x + 1]$

Here, k = 1

$\sf = x^2 + x + 1$

Hence,

The quadratic polynomial is

${x}^{2} + x + 1$

$\rule{200}2$