Question

If one zero of the polynomial 3x^2 + 12x - k is reciprocal of the other , then find the value of k. ( class 10 )

Answer 1

Let one zero is P and other is 1/P of given polynomial ; 3x² + 12x - K ,

products of roots = ( constant )/( coefficient of x²)
P × 1/P = -K/3
1 = - K/3
K = -3

Answer 2

Let one zero is P
other is 1/P
given polynomial ; 3x² + 12x - K ,
products of roots = ( constant )/( coefficient of x²)
P × 1/P = -K/3
1 = - K/3
K = -3
May this help u....