Question

Find a quadratic polynomial whose sum and product of roots are 2, -3/5

Answer 1

Here is your answer buddy

Answer 2

Answer:

$product \: of \: roots = \frac{ - 3}{5}$

$sum \: of \: the \: roots = 2$

$quadratic \: polynomial = p(x) = {x}^{2} - (sum \: of \: roots \times x )+ product \: of \: roots$

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

$p(x) = \frac{k}{5} (5 {x}^{2} - 10x - 3)$