Question

One zero of quadratic polynomial is 2x^2-8x-m is 5/2. Find the other zero and value of m

Answer 1

$let \: \: the \: \: other \: \: zero \: \: be \: \: \alpha \\ from \: the \: polynomial \: sum \: of \\ zeros \: is \: \frac{8}{2} =4 \\ i.e. \: \: \alpha + \frac{5}{2} = 4 \\ \alpha = 4 - \frac{5}{2} = \frac{3}{2}$
product of the zeros is
$\frac{ - m}{2} = \frac{5}{2} \times \frac{3}{2} = \frac{15}{4} \\ m = \frac{ - 15}{2}$