Question

find the quadratic polynomial in each case with the given number as the sum and product of its respectively 1/4-1,^2,1/3, 0,^5, 1,1 , -1/4,1/4,4,1​

Answer 1

Answer:

Sum of the zeroes =(α+β)=1

Product of the zeroes =αβ=1

Let the Quadratic polynomial be

ax

2

+bx+c is

k[x

2

−(α+β)x+αβ],

where k is a constant and k



=0,then

k[x

2

−(1)x+(1)]

⇒x

2

−x+1