Question

find the quadratic polynomial if the zeroes are half and minus half​

Answer 1

Answer:4x² - 1 = 0

Step-by-step explanation:

Let roots be A and B

A = 1/2

B = -1/2

Let x = A,B

Thus x =1/2,-1/2

Therefore (x -1/2) = 0 and (x +1/2) = 0

On multiplying them-----

(x -1/2)(x +1/2) = 0

x(x +1/2) -1/2(x +1/2) = 0

x² +x/2 -x/2 -1/4 = 0

x² -1/4 = 0

Multiplying both sides by 4

4x² - 1 = 0, it is the answer