Question

Find the quadratie polynomial,the sum of whose zeros is 0 and the product is -1.hence,find the zeros of the polynomial​

Answer 1

Answer:

Let the zeroes be A and B respectively

A+B=0

A*B=-1

Polynomial= k{x²-(A+B)x + A*B}

= x² - 1

Answer 2

Answer:

Let the zeros be α and β

Step-by-step explanation:

α + β = 0. (Given)

α = -β ------------- eq 1

α*β= -1. (Given)

Putting the value of α

-β*β = -1

β^2 = -1

β^2 = (1)^2

taking sq. root both side

β = 1

Putting value of β in eq 1

α = -1

Hope it will help you

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