Question

find a quadratic equation whose zeros are - 1 and 1 respectively​

Answer 1

AnswEr:

our required Quadratic Polynomial is x² - 1.

SoluTion:

Given zeroes :

• -1 and 1

Sum of zeroes = -1 + 1

=> Sum of zeroes = 0

Product of zeroes = -1 × 1

=> Product of zeroes = -1

Quadratic polynomial = x² - Sx + P

=> Quadratic Polynomial = x² - 0x + (-1)

=> Quadratic Polynomial = x² - 1

Hence, our required Quadratic Polynomial is x² - 1.

Answer 2

Answer:

x^2 - 1 = 0

Step-by-step explanation:

Here,

Sum of roots is - 1 + 1  ⇒ 0

Product of roots is -1*1  ⇒ - 1

We know,

  Quadratic equation are written in the form x^2 - Sx + P = 0 represent S as sum of their roots and P as product of their roots.

 From above, S = 0  

                       P = - 1

Therefore,

Required equation :

⇒ x^2 - ( 0 )x + ( - 1 ) = 0  

⇒ x^2 - 0 - 1 = 0

⇒ x^2 - 1 = 0

      Required equation is x^2 - 1 = 0