Question

$if \: one \: zero \: of \: polynomial \: a {x }^{2} + 15x + 6 \: is \: reciprocal \: of \: other \: find \: a$
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Answer 1

Answer:

a=6

Step-by-step explanation:

p(x)=ax^2+15x+6

Zeroes are

$\alpha \: and \: \frac{1}{ \alpha }$

Product of zeroes=

$\alpha \times \frac{1}{ \alpha } = \frac{c}{a} = \frac{6}{a} \\ 1 = \frac{6}{a} \\ a = 6$