Question

write the quadratic polynomial. the product and sum of zeroes are 3 and -5​

Answer 1

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

Answer 2

Step-by-step explanation:

\begin{gathered} \alpha \beta = 3 \\ \alpha + \beta = - 5 \\ p(x) = {x}^{2} - ( \alpha + \beta )x + \alpha \beta \\ = {x}^{2} - 3x - 5 \end{gathered}