Question

if one zero of the polynomial f(x)= 3x²+7k+k is the reciprocal of the other, then the value of k is​

Answer 1

$. \huge\underline\bold\red{♡Question ♡}$

if one zero of the polynomial f(x)= 3x²+7k+k is the reciprocal of the other, then the value of k is

$. \huge\underline\bold\red{♡Answer♡}$

f(x)= 3x²+7k+k is the reciprocal of the other, then the value of k is

$\mathsf\red{Step \: by \: step \: explanation: - \:}$

Let α be the first root of the polynomial 2x

2

−3x+k.

Then according to question other root is

α

1

.Now, product of roots=coefficientofx

2constantterm

⇒α× α1= 2k⇒k=2

Option A is correct.

Answer 2

Answer:

k=3

Step-by-step explanation:

Given Question:-

if one zero of the polynomial f(x)= 3x²+7k+k is the reciprocal of the other, then the value of kk.

Correct question:-

if one zero of the polynomial f(x)= 3x²+7x+k is the reciprocal of the other, then the value of k.

=>Refer the attachment for the solution.