Question

if 1 and -2 are two zeroes of polynomial p(x) = 2x^3 -x^2 -5x-2, find its third zero​

Answer 1

Answer:

third zero is

$\frac{3}{2}$

as sum of roots in cubic equation

=

$\frac{ - coefficient \: of \: {x}^{2} }{coefficent \: of \: {x}^{3} }$

$1 - 2 + third \: root = \frac{1}{2} \\ third \: root = \frac{3}{2}$