Question

find a quadratic polynomial sum and the product of whose zeros are -3 and 2 respectively

Answer 1

this is the answer as per the formula

Answer 2

Quadratic polynomial of the sum of zeroes and product of zeroes is $\bold{x^{2}+3 \mathrm{x}+2=0}$

Given:

The sum of the zeroes = -3

Product of the zeroes = 2

To find:

Quadratic polynomial using sum of zeroes and product of zeroes

Solution:  

Required polynomial:

$\bold{x^{2}-(\text { sum of the xeroes }) \mathrm{x}+\text { product of the zeroes }=0}$

Substituting zeroes = -3 and product of zeroes = 2 in the above equation, we get

$x^{2}-(-3) x+2=0$

We know that by formula, $\bold{-*-=+}$

$x^{2}+3 x+2=0$

Hence, the required polynomial is $x^{2}+3 \mathrm{x}+2=0.$