Question

find a quadratic polynomial the sum and product of whose zeroes are 6 and 9 respectively hence find the zeroes​

Answer 1

hope it help you....

Answer 2

Answer:

Step-by-step explanation:

Given the sum is six and product is 9 let the quadratic equation be of unknown term x.

We write the quadratic equation as follows since none of the digits is negative :

x^2 + 6x + 9 = 0

The above is the quadratic equation.

We can now solve for x as follows :

The digits when multiplied gives 9 and when added gives 6 is 3 and 3.

x^2 + 3x + 3x + 9 = 0

Collecting like terms together :

x(x + 3) + 3(x + 3) = 0

(x + 3)(x + 3) = 0

X = - 3

The roots are - 3 and - 3

That is the simplest way to solve the question above.