Question

if one zero of the quadratic polynomial 4 x square +( 2 k + 1 ) x - 9 is negative of other find the value of k​

Answer 1

Comparing f(x) = 4x2 - 8kx - 9 with ax2+bx+c we get

a=4; b=-8k and c=-9.

Since one root is the negative of the other, let us assume that the roots are p an -p.

Sum of the roots, a+(-a)=-b/a= - (-8k) / 4

0=2k

k=0