If one zero of the polynomial fx-k2-4 x2-13 x-4 k is reciprocal of the other- then k-a 2b -2c 1d -1

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Formation of a Quadratic Equation From It's Roots

If one zero o...

Question

If one zero of the polynomial f(x) = (k² + 4)x² + 13x + 4k is reciprocal of the other, then k =

(a) 2
(b) −2
(c) 1
(d) −1

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If one of the zeroes of the polynomial g(x) = $(k^{2} + 4) x^{2} + 13 x + 4 k$ is reciprocal of the other then k is

If one of the zeroes of the polynomial $g (x) = (k^{2} + 4) x^{2} + 13 x + 4 k$ is reciprocal of the other, then value of k is,

p (x) = (k^{2} + 4) x^{2} + 13 x + 4 k

k = 2

x - α

p (α)

p (α) = 0

α

(k^{2} + 1) x^{2} + 13 x + 4 k = 0

k

f (x) = 5 x^{2} + 13 x + k

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