Question

Find the zeroes of the following quadratic polynomial and verify the relationship between the zeroes and it's co efficient 1) x square- 1​

Answer 1

Step-by-step explanation:

x²-1

(x+1)(x-1) (here a=1 b=0 c=1)

x=1 x= -1

α=1

β=-1

{α+β=0

α*β= -1} eq1

{Sum of zeroes= -b/a = -0/1 = 0

Sum of zeroes= -c/a = -1/1 = -1} eq2

From eq1 and eq2, the relationship between zeroes and coefficients is verified.