Question

one of the zeroes of the polynomial 2x2-8x-k is 5/2

Answer 1

$\textbf{\underline{Answer :}}$

The given polynomial is

f(x) = 2x² - 8x - k

Since, 5/2 is a zero of the polynomial f(x),

f(5/2) = 0

or, 2 (5/2)² - 8 (5/2) - k = 0

or, 2 (25/4) - 8 (5/2) - k = 0

or, 25/2 - 40/2 - k = 0

or, (25 - 40)/2 - k = 0

or, - 15/2 - k = 0

or, k = - 15/2

Therefore, the value of k is

$\fbox{k = - 15/2}$

#$\textbf{\underline{MarkAsBrainliest}}$