Question

1) write
the
quadratic Polynomial
whose
Zeres are
2,-1​

Answer 1

Answer:

Given roots are 2,-1

The general form is x²-(sum of roots) x+product of roots

Sum of roots =2-1=1

Product of roots =-2

The polynomial is

x²-x-2

Answer 2

The given zeroes are 2,-1

so

$\alpha + \beta \\ = 2 - 1 \\ = 1 \\ so \: \: \alpha \beta \\ = 2 \times - 1 \\ = - 2$

so,the equation is

${x}^{2} - ( \alpha + \beta )x + \alpha \beta \\ = {x}^{2} - x - 2(ans)$

Here is your answer

HOPE IT IS HELPFUL .........:)☆