Question

If one zero of 3x²+8x+k is reciprocal of other than k=?

Answer 1

Given polynomial: 3x²+8x+k

Given that one zero is reciprocal of the other.

Let one zero be a
Other zero = 1/a

We know that product of zeroes (of polynomial ax²+bx+c) = c/a

=> a × 1/a = k/3

=> 1 = k/3

=> k = 3

Hence, k = 3

Answer 2

$<b>$
given: polynomial = 3x² + 8x + k

and one zero is the reciprocal of other

let one zero =
$\alpha \: and \: other \: = \frac{1}{ \alpha }$

we know product of zeros = c/a
$\alpha \times \frac{1}{ \alpha } = \frac{k}{3} \\ \\ \frac{k}{3} = 1 \\ \\ k = 1 \times 3 = 3$

hope it helps you

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