Question

find the quadratic polynomial whose zeros are 2 and -6 .​

Answer 1

☆︎✪︎ AnswEr ✪︎✰︎

${x}^{2} - 2x - 6 = 0$

is the required equation

✞︎ Given :-

• The sum of Zeroes is 2
• Product of Zeroes is -6

❦︎ To find :-

• The Quadratic equation ...

✯︎ Solution :-

We know that ,

Quadratic equation formula ( When we have Zeroes ) ......

➪︎ $k( {x}^{2} - x( \alpha + \beta ) + \alpha \beta ) = 0$

➪︎ $k( {x}^{2} - x(2) + ( - 6)) = 0$

➪︎$k( {x}^{2} - 2x - 6) = 0$

If k = 1 , then the required Quadratic

✰︎ ${x}^{2} - 2x - 6 = 0$