Question

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

Answer 1

y = 2x² + 3x - 9

Explanation:

Given αβ = -
`(9)/(2)` =
`(c)/(a)`

and α + β = -
`(3)/(2)` = -
`(b)/(a)`

Then a = 2, b = 3 and c = - 9, thus

y = 2x² + 3x - 9