Question

Find the coefficient of zeros of the following polynomials and verify the relationship between the zeros and coefficients 2 x square - 5

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