Question

if one of the zero of the polynomial f(x)=(k^+4) +13x+4k is reciprocal of the other k=​

Answer 1

Answer:

Let's assume the roots of the polynomial be α,

α

1

Product of the roots of the polynomial =

k

2

+4

4k

⇒α×

α

1

=

k

2

+4

4k

⇒

k

2

+4

4k

=1

⇒4k=k

2

+4

⇒k

2

−4k+4=0

⇒(k−2)

2

=0

⇒k=2