Question

write the quadratic polynomial if the sum and product of its zeroes are 3 and -2/3​

Answer 1

Answer:

it is 3/-2 and 3/0 this is the correct answer

Answer 2

Given : Sum and product of the zeroes of a quadratic polynomial are 3 and -⅔ respectively.

Need to Find : The quadratic polynomial.

⠀⠀⠀____________________

Here,

$\:$

• sum of zeroes, α + β = 3
• product of zeroes, αβ = -⅔

⠀⠀⠀____________________

$\:$

$\underline{\underline{\it{\bold{★ \: According \: to \: the \: question \: : }}}}$

$\:$

• We know that formula for finding the quadratic polynomial is :

$\:$

$\sf : \implies \: quadratic \: polynomial \: = x {}^{2} - (sum \: of \: zeroes)x + (product \: of \: zeroes)$

$\:$

$\sf : \implies \: quadratic \: polynomial \: = x {}^{2} - ( α + β)x + αβ$

$\:$

$\sf : \implies \: quadratic \: polynomial \: = x {}^{2} - (3)x + \left( - \dfrac{2}{3} \right)$

$\:$

$\sf : \implies \: quadratic \: polynomial \: = x {}^{2} - 3x - \dfrac{2}{3}$

$\:$

$\sf\therefore{\underline{Hence, \: the \: quadratic \: polynomial \: is \: x {}^{2} - 3x - \dfrac{2}{3}. }}$