Question

write a quadratic polynomial scam if whose zeros is 1 and product is 1​

Answer 1

Answer:

Given : Sum fo zeroes =  (α+β)=0

Product of the zeroes = αβ=−1

Required quadratic polynomial is 

x2−(α+β)x+αβ=x2−(0)x−1

=x2−1

Now, find the zeroes of the above polynomial.

Let f(x)=x2−1

= x2−12

=(x−1)(x+1)

Substitute f(x)=0 

(x−1)=0 or (x+1)=0 

⇒x=1 or x=−1

1 and −1 are the zeroes of the polynomial.

Step-by-step explanation:

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Answer 2

Answer:

a+b =1

ab=1 therefore,

x^2-(a+b)x+ab

x^2-1x+1