Question

If the zeros of polynomial 3x square + 8 x + K are reciprocal to each other find k

Answer 1

Heya !!!


Let Alpha be a one zero of the given polynomial.


Other Zero = 1/ Alpha


P(X) = 3X² + 8X + K



Here,


A = 3 , B = 8 and C = K



Product of zeroes = C/A



Alpha × 1/ Alpha = K/3



1 = K/3

K = 3.


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

Answer 2

Heya !!!

Here is your answer.

Given :
One of the Zeroes of polynomial 3x² + 8x + k is reciprocal of the other
Then, k = ?

Comparing with ax² + bx + c, we get
a = 3, b = 8 and c = k.

Let one zero be a, then the other zero will be 1/a.
Product of zeroes = a × 1/a = 1 = C/A

1 = k/3
k = 3


Hope It Helps