Question

Write a polynomial the product and sum of whose zeroses are -9/2 and-3/2

Answer 1

$polynomial \: is \: \\ {x}^{2} - (sum)x + product \\ {x}^{2} - ( \frac{ - 9}{2} )x + ( \frac{ - 3}{2} ) \\ = {x}^{2} + \frac{9}{2} x - \frac{3}{2}$