Question

Find the quadratic polynomial, the sum of whose zeros is 0 and the product of its zeros is 5​

Answer 1

Answer:

Given : Sum fo zeroes = (α+β)=0

Product of the zeroes = αβ=−1

Required quadratic polynomial is

x

2

−(α+β)x+αβ=x

2

−(0)x−1

=x

2

−1

Now, find the zeroes of the above polynomial.

Let f(x)=x

2

−1

= x

2

−1

2

=(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

Answer 2

Answer:

zeros is 1 and -1 th

Step-by-step explanation:

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