Question

Find a quadratic polynomial whose sum of zeroes and product of zeroes are negative 1 by 4 and 1 by 4

Answer 1

Step-by-step explanation:

let the zeroes are a & b.

a+b=-1/4

ab=1/4

x^2+(a+b)x+ab=0

x^2-1/4x+1/4=0

multiply by 4

4x^2-x+1=0