Question

find the zeroes of x2+2x+1=0 also verify the relationship between zeroes and it's coefficient​

Answer 1

Answer:

-1,-1

Step-by-step explanation:

substitute -1 in X2+2x+1=0

Answer 2

Factorizing the quadratic polynomial

x² + 2 x + 1 = 0

x² + x + x + 1 = 0

x ( x + 1 ) + 1 ( x + 1 ) = 0

( x + 1 ) ( x + 1 ) = 0

x = -1  and x = -1  

are two zeroes of polynomial.

Finding the coefficients

comparing x² + 2 x + 1 = 0

with

standard form of quadratic polynomial

ax² + b x + c = 0

we will get

a = 1 ; b = 2 ; c = 1

Relationship between zeroes and coefficients

as we know,

sum of zeroes = - b / a

and

product of zeroes = c / a

Verification of relationship

1 ) sum of zeroes = - b / a

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

- 2 = - 2

verified

2 ) product of zeroes = c / a

    - 1 × - 1 = 1 / 1

       1 = 1

verified.