Question

find a quadratic polynomial with the sum of its zeroes being -1/4 and the product of its zeroes being 1/4​

Answer 1

Answer:4x²+1x+1

Step-by-step explanation:

Name a zero as 'a' and another as 'b'

Given:a+b=-1/4 and ab=1/4

Now,

We know the formula that,

x²-(a+b)x+ab=0

x²-(-1/4)x+1/4=0

x²+1/4x+1/4=0

Multiplying 4 on both sides,

4x²+1x+1=0