Question

Find the zeroes of the polynomial and verify the relationship between the zeroes and

coefficients of polynomial p(x) = x2 – 25.​

Answer 1

Answer:

Given polynomial is x

2

−5

Let the zeros be α,β. (α>β)

x

2

−5=0⇒x

2

=5⇒x=±

5

α=

5

,β=−

5

So, α+β=0,αβ=−5

The coefficient of x is zero ⇒α+β=0

(& of x

2

is 1).

Constant = αβ=−5

Hence verified.

Step-by-step explanation:

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