Question

If one of the zeroes of the polynomial 2x2+px+4=0 is 2 find the other root also find the value o fp

Answer 1

$let \: \: the \: \: other \: \: zero \: \: be \: \: \alpha \\ product \: \: of \: \: the \: \: zeros \\ 2 \times \alpha = \frac{4}{2} = 2 \\ \alpha = 1$
$sum \: \: of \: \: the \: \: zeros \\ 2 + 1 = \frac{ - p}{2} \\ p = - 6$