Question

Obtain a quadratic polynomial p(X)=ax^2+bx+c where sum of zeroes is 8/5 and product of zeros is 3/5 (a<0)​

Answer 1

Answer:

Step-by-step explanation:

Please refer he attachment for it

Thank you

Answer 2

Given,

$\alpha + \beta = \frac{8}{5} \: and \: \alpha \beta = \frac{3}{5}$

Hence, required polynomial;

${x}^{2} - ( \frac{8}{5} )x + \frac{3}{5} \\ = 5 {x}^{2} - 8x + 3 \\ = - 5 {x}^{2} + 8x - 3$

As a < 0, therefore we took the negative value of a.

HOPE THIS COULD HELP!!!