Question

find quadratic polynomial whose sum of zeroes and product of zeroes are 6,-4 respectively​

Answer 1

Answer:

the quadratic equation is

x^2 - 6x + (-4) = 0

x^2 - 6x - 4 = 0

Answer 2

Answer:

Required Polynomial is k ( x² - 6x - 4 ) = 0

Step-by-step explanation:

Given:

Sum of the zeroes of quadratic polynomial = 6

Product of the zeroes of quadratic polynomial = -4

To find: Quadratic Polynomial

We know that if α and β are zeroes then, Quadratic polynomial is given as follows,

k ( x² - ( α + β )x + αβ ) = 0

So, We have

α + β = 6  and  αβ = -4

k ( x² - 6x + (-4) ) = 0

k ( x² - 6x - 4 ) = 0

Therefore, Required Polynomial is k ( x² - 6x - 4 ) = 0