Question

if A and B are the zeros of the polynomial 3x^2-4x-7 then firm a quadratic polynomial whose zeroes are 1/a and 1/b

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Answer 1

p(x) = 3x^2-4x-7

so,

A+B= 4/3

AB= -7/3

1/A+1/B =A+B/AB

=

= -4/7

AND,

1/A×1/B=1/AB= -3/7

We know that,

g(x) =x^2-(sum of zeroes)x+(product of zeroes)

=x^2+4/7 x-3/7

OR

=7x^2+4x-3