Question

If alpha and beta are the zeroes of polynomial 2x^3+5x+1 find the values of alpha + beta and alpha beta

Answer 1

P(x) = 2x² + 5x + 1

Sum of roots = -5/2

Product of roots = 1/2

Therefore substituting these values, 

α + β +αβ 

=(α + β) + αβ

= -5/2 + 1/2

= -4/2 

= -2