Question

write the family of quadratic polynomial having -1/4 and 1 as its zeros​

Answer 1

Answer:

4x^2-3x-1=0

Step-by-step explanation:

let a=-1/4

b=1

sum of zeroes a+b=-1/4+1

=-1+4/4

=3/4

product of zeroes a*b =-1/4×1

=-1/4

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

x^2-(3/4)x+(-1/4)=0

4x^2-3x-1=0