Question

if 1/4 and -1 are the zeroes of a polynomial then find he quadratic polynomial

Answer 1

Answer:

$x^{2}$ + 3/4 x - 1/4

Step-by-step explanation:

1/4 and -1 are the zeros of the quadratic polynomial then the factor of that polynomial will be ( x -1/4) and (x+1)

hence the polynomial is quadratic then its only have two factor , which were

( x -1/4) and (x+1)

so the equation will be -  

(x+1)( x -1/4)

$x^{2}$ - 1/4 x + x - 1/4

$x^{2}$ + 3/4 x - 1/4

Hope this may help you.

Answer 2

Answer :-

x² + 1/2

Explanation:-

x² - ( 1/4 -1) + (1/4* -1 )

= x² + 3/4 - 1/4

= x² + 2/4

= x² + 1/ 2