Question

If one zero of the polynomial
f(x) = (k2 + 4)x2 + 16x + 4k is reciprocal of the
other, then k is equal to
(a) 2
(b) - 2 (c) 1 (d) - 1

Answer 1

Step-by-step explanation:

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

Answer 2

- 2 (c) 1 (d) - 1

I think this is completed and correct answer