Question

if one zero of the polynomial 15x2 + 14x-- k is reciprocal of the other find the value of k

Answer 1

Hiii friend,


Let the one zero of the polynomial be Alpha



Other zero will be 1/Alpha





P(X) = 15X²+14X-K


Here,


A = 15 , B = 14 and C = -K



Therefore,


Product of zeroes = C/A


Alpha × 1/Alpha = -K/15


1 = -K/15


-K = 15


K = -15

HOPE IT WILL HELP YOU...... :-)