Question

find the polynomial whose zeros are reciprocals of the zeros of the polynomial 2x square + 3 x - 6

Answer 1

Here it is , it is easy to use substitution method for this question

Answer 2

Answer:6x²+3x-2=0

Step-by-step explanation:

let the solution of x²+3x-6=0 equation is A and B

so as we know

A+B = -3/2

and AB =-6/2= -3

we have to find equation of reciprocal of zeros.

so the zeros of that equation is 1/A and 1/B

so $\frac{1}{A}+\frac{1}{B}=\frac{A+B}{AB}\\\\= \frac{\frac{-3}{2}}{-3}\\\\=\frac{1}{2}[tex]</p><p>and [tex]\frac{1}{AB}=\frac{1}{-3}$

so formed equation is

x²+(1/2)x+(-1/3)=0

⇒6x²+3x-2=0