Question

If one zero of polynomial p(X) = (a^2+9)x^2+15x+6a is reciprocal of other , find the value of a
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Answer 1

Hi mate ,simple question

Let the one zero of polynomial be y . Then other zero is 1/y. We know that product if zeroes.

= constant term / coffficient ofx^2 then y× 1/y= 6a/(a^2+9).

a^2+9= 6a

a^2-6a+9= 0 [ factorise it].

a^2-3a-3a+9=0.

a(a-3)-3(a-3)=0.

a=3 yr answer. I hope it help you ✌️. Mark answer as brainlist ❤️