Question

what will be the quadratic eqn if the zero is 1/4,-1

Answer 1

x² - (sum of the root)*x + product of the root = 0
x² - (1/4-1)*x + (1/4)*(-1) = 0
x² + 3x/4 - 1/4 = 0
4x² + 3x - 1 = 0

Answer 2

As given zero is 1/4 and -1
⇒x=1/4,x= -1
⇒x-1/4=0,x+1=0
⇒(x-1/4)(x+1)=0
⇒x² + x - (1/4)x - 1/4 = 0
⇒x² + (3/4)x - 1/4 = 0
⇒4x² + 3x -1 = 0