Question

find a quadratic polynomial each with the given number as the sum and product of its zeros respectively 1 and 2

Answer 1

Answer:

let a and b be the zeroes

sum of zeroes=a+b=1

product of zeroes=a*b=2

polynomial:

p(x)=k[x^2-(a+b)x+a*b]

p(x)=k(x^2-1x+2)

Polynomial p(x)=x^2-x+2

Answer 2

Given
-b/a=1 and c/a =2
K(x2-(-b/a)x+c/a)
K(x2+1x+2)
K(x2+x+2)
Kx2+x+2