Question

Find the quadratic polynomial if the sum of zeros is equals to 1/2 and product of zeros is 1/3

Answer 1

Given,

Sum of Zeroes = α + β = 1/2

Product of zeroes = αβ = 1/3

We know that,

The general form of Quadratic polynomial is :

x² - (sum of zeores)x + (product of zeroes)

= x² - (α + β)x + αβ

The quadratic polynomial = k{x² - (sum)x + product}

[ Where k ≠ 0 ]

= k{ x² - ( 1/2 )x + 1/3 }

= k( x² - x/2 + 1/3 )

= k{ ( 6x² - 3x + 2 ) / 6 }

When k = 6

= 6{ ( 6x² - 3x + 2 ) / 6 }

= 6x² - 3x + 2

Therefore, required polynomial is 6x² - 3x + 2.

Answer 2

$\mathfrak{\huge{\pink{ANSWER}}}$

Answer in Attatched File......