Question

Write a polynomial whose product and sum of whose zeroes are -9 by 2 and-3 by 2 respectively

Answer 1

i hope this will help you!!!!!!

Answer 2

Answer:

The polynomial is

$x^2+\frac{3}{2}x-\frac{9}{2}$

Step-by-step explanation:

Given the sum and product or zeroes

we have to find the polynomial.

Let α and β are the zeroes of given polynomial

$\text{sum of zeroes}=\alpha+\beta=\frac{-3}{2}$

$\text{Product of zeroes}=\alpha.\beta=\frac{-9}{2}$

As the general form of polynomial is

$x^2-(\text{sum of zeroes})x+(\text{Product of zeroes})$

$x^2-(\alpha+\beta)x+(\alpha. \beta)$

$x^2-(\frac{-3}{2})x+(\frac{-9}{2})$

$x^2+\frac{3}{2}x-\frac{9}{2}$

which is required polynomial.